lisa123
  • lisa123
Find all the rational zeros of the function. x^3-31x-30
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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dayakar
  • dayakar
let p(x) =x^3-31x -30 find p(-1)
lisa123
  • lisa123
0
lisa123
  • lisa123
p(x)=0

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More answers

dayakar
  • dayakar
right (x-1) is a factor of p(x)
dayakar
  • dayakar
divide p(x) with (x-1)
lisa123
  • lisa123
how did you know to use -1?
dayakar
  • dayakar
sum of the coefficients odd powers x = sum of the coefficients even powers of x then x-1 is a factor
dayakar
  • dayakar
is it clear
dayakar
  • dayakar
what happens
lisa123
  • lisa123
can you use the rational roots theorem?
dayakar
  • dayakar
is it remainder theorem
lisa123
  • lisa123
no I mean to find all the possible roots
dayakar
  • dayakar
ok , can u divide given expression with (x-1)
dayakar
  • dayakar
sorry divide with x+1
lisa123
  • lisa123
yes
dayakar
  • dayakar
write the answer
lisa123
  • lisa123
x^2-x-30
dayakar
  • dayakar
very good
dayakar
  • dayakar
now split middle term x^2-6x+5x-30
dayakar
  • dayakar
x(x-6)+5(x-6) =(x-6)(x+5) these are other two factors
lisa123
  • lisa123
so all of the factors are -1,6,-5, 0 ?
dayakar
  • dayakar
p(x)= x^3-31x-30 =(x+1)(x^2-x-30) +(x+1)(x-6)(x+5)
dayakar
  • dayakar
x+1,(x-6),(x+5) are factors
dayakar
  • dayakar
-1, 6 and -5 are roots
dayakar
  • dayakar
is it clear
lisa123
  • lisa123
Yea thank you @dayakar

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