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Can you please help me with this maths question
1. The cubic polynomial P(x)= x^3 +rs^2 +sx+t , where r,s and t are real numbers has three real zeroes,1,a, and a
(a) find the value of s + t
 2 years ago
 2 years ago
Can you please help me with this maths question 1. The cubic polynomial P(x)= x^3 +rs^2 +sx+t , where r,s and t are real numbers has three real zeroes,1,a, and a (a) find the value of s + t
 2 years ago
 2 years ago

This Question is Closed

myininayaBest ResponseYou've already chosen the best response.1
is the polynomial written correctly?
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.4
woops my bad sorry P(x) = x^3 +rx^2 +sx +t
 2 years ago

helpme1234Best ResponseYou've already chosen the best response.0
Colorful pi can you help me?
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
let me try to help him and then i will look at your question
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.4
him ? are yu referring to me ?
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.4
noo , its a polynomial question
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
so what class is it then?
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.4
class ? what do yu mean ? Its from the topic polynomials
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
\[P(x)=(x1)(xa)(x+a)=x^3+rs^2+sx+t\]
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
so I guess you are doing it for fun? \[P(x)=(x1)(x^2a^2)=x^3+rs^2+sx+t\] no i just thought u would like to see the steps
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.4
no , im not doing it for fun , its my maths assignment LOL
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
\[P(x)=x(x^2a^2)1(x^2a^2)=x^3+rsx^2+sx+t\]
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
so the class is called polynomials lol?
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.4
what does yu mean by class ?
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
\[P(x)=x^3a^2xx^2+a^2=x^3+rsx^2+sx+t\] people go to class to learn and get assignments lol
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.4
no the class is called maths LOL
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
\[P(x)=x^3x^2a^2x+a^2=x^3+rsx^2+sx+t\]
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.4
2 unit maths to be specific
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
ok we are almost done with this problem can you guess what to do next?
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
we want both sides to be the same
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.4
collecting like terms ?
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
ok the the coefficient of x^2 on left hand side is 1 the coefficient of x^2 on the other sides is rs so what can you say about rs and 1?
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
so we need that for the other terms as well
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
we have 1=rs a^2=s a^2=t
 2 years ago

polpakBest ResponseYou've already chosen the best response.0
I seriously think I'm being trolled here.. but just to ease my tired brain.. \[\sqrt{25} \ne 5\]
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.4
wait , dnt yu factorise it further to (x^2a^2)(x1)
 2 years ago

polpakBest ResponseYou've already chosen the best response.0
Someone was trying to tell me that it equals both 5 and 5
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
ok the objective is to find s+t
 2 years ago

polpakBest ResponseYou've already chosen the best response.0
But I can only really prove it by going to the definition. Which they don't accept.
 2 years ago

polpakBest ResponseYou've already chosen the best response.0
Sorry for bothering you mimi, but myin rarely watches group chat (with good reason)
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
what do you think s+t is based on what i gave you above? hint we don't need that first equation rs=1
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.4
yu talking to me or polpak ? LOL
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.4
lols , tbh im lost , i dont get it xDD
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
do you understand when I wrote P as P(x)=(x1)(xa)(x+a)?
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.4
yeah , i dont understand the part 1 = rs a^2 = s a^2 = t where did yu get it from ?
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
both sides had to be equal we were looking at \[P(x)=x^3a^2xx^2+a^2=x^3+rsx^2+sx+t \]
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
look at the coefficients of each term on both sides we want each term to be the same as it is on the other side
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
so if we look at the x^3's they are good they both have coefficient 1 what is the coefficient of x^2 on left hand side ? what is the coefficient of x^2 on right hand side?
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
yes now what is the coefficient of x on the left hand side? what is the coefficient of x on the right hand side?
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.4
x on the left hand side: 1 i think x on the right hand side 1 i think
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
no what is the number in front of x on boths?
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.4
there's no other number
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.4
lols , its a letter not a number
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.4
they are ? arent they are called pronumerals ?
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
never heard of this term
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
when you are doing math and you don't see a word and you see a letter it usually represents a number unless it is the word a or i
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
becauce a and i can be words
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.4
ohh ok , i never knew that they are numbers xD
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
but usually the book will make it clear to you what they are
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
a^3 is nowhere to be found we aren;t solving equation for x
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
ok so look again at the polynomial what is the coefficent of x on both sides?
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
ok no \[P(x)=x^3a^2xx^2+a^2=x^3+rsx^2+sx+t \] ^ ^   a^2 = s
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.4
ohh lols , sorry im so slow of understanding it
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
ok do you see the terms that don't an x in em? there terms are called constants and they must be equal of that we have the same polynomial on both sides
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
god my english is getting bad
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.4
lols , probably getting annoyed of me not getting it xD
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
no its just late here i been up for along time today
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
so what are the constants on both sides?
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
the terms that don't have a x in them
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
t and what is it on the other side?
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
remember you are looking for nonx terms
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
\[P(x)=x^3a^2xx^2+a^2=x^3+rsx^2+sx+t \] ^ ^   a^2 = t
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
so what is s again? and what is t again?
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
not a^3 scroll up we have it above
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.4
lols , finally i get it
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
ok now s+t is a^2+a^2 right?
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
but what is a^2+a^2?
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.4
so substitute it in s and t
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
6+6 is 24+24 is 999+999 is
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.4
where did 5 come from ?
 2 years ago

myininayaBest ResponseYou've already chosen the best response.1
i'm just trying to help you think what a^2+a^2 is
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.4
really ? omg ! yay i got it right xD
 2 years ago

Mimi_x3Best ResponseYou've already chosen the best response.4
thank you very mcuh for helping (:
 2 years ago
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