anonymous
  • anonymous
Given the expression 5a^2b – 13ab + 7a^3 – 4b, do the following as instructed below: a)Write the polynomial in descending order. b)Classify the polynomial by the number of terms. c)State the degree of the polynomial.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
help please
anonymous
  • anonymous
@ganeshie8
anonymous
  • anonymous
@triciaal

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anonymous
  • anonymous
help please
anonymous
  • anonymous
a) 7a^3 +5a^2b -13ab -4b
anonymous
  • anonymous
b) Although the ^2b is unusual, the highest power seems to be ^3, therefore it would be a third degree equation.
anonymous
  • anonymous
sorry, the answer I gave to b should have been the answer to c)
anonymous
  • anonymous
oh ok but can you explian it to me to
anonymous
  • anonymous
b) there are 4 terms in the equation, and since we only label equations up to third degree, then it must be called a polynomial
anonymous
  • anonymous
what would you like me to explain @CUTEYPIE137
anonymous
  • anonymous
In fact, it says its a polynomial in the question
anonymous
  • anonymous
well um the descending order how did you get that @BPDlkeme234
anonymous
  • anonymous
A linear equation is one in which the highest power is 1 (e.g x+ y = 12) A quadratic equation is one in which the highest power is 2 (e.g x^2 + y = 12) a cubic equation is one in which the highest power is 3 (e.g. (x^3 + y^2+3 =12) a polynomial is any equation in which the power is above this
anonymous
  • anonymous
You asked about the descending order. I simply looked at the powers. It seems to me that the highest power was ^3 so that term came first. next ^2b (as I said this is unusual) but I put it second since we dont know what b is. Next 13ab because it is simply to the power of 1 (i.e. any number to the power of 1 is itself e.g. 13 ^1 = 13), but it had two variables a and b. and finally the last term which had only one variable (-4b) so it went last.
anonymous
  • anonymous
oh thank you i understand um can you explain question b for me also please @BPDlkeme234
anonymous
  • anonymous
OH NEVERMIND
anonymous
  • anonymous
I know it would be a polynomial right @BPDlkeme234
anonymous
  • anonymous
@CUTEYPIE137 it is asking you to COUNT the number of terms in the expression first term: 7a^3 2nd term: 5a^2b 3rd term: 13ab 4th term: -4b therefore there are 4 terms in this expression.
anonymous
  • anonymous
ohhh
anonymous
  • anonymous
You understand now?@CUTEYPIE137
anonymous
  • anonymous
so it would be a cubic polynomial @BPDlkeme234
anonymous
  • anonymous
only if the highest power was ^3 in the expression.
triciaal
  • triciaal
is everything clear
anonymous
  • anonymous
yes so in this polynomial the highest power is 3 so it is a cubic polynomial
anonymous
  • anonymous
Well we dont use the words polynomial if it is a cubic equation, we simply say it is a cubic equation. polynomials are equations in which the power is greater than ^3
anonymous
  • anonymous
you are right it is a cubic equation, if we dont know what ^2b is.
anonymous
  • anonymous
oh ok thank so very much @BPDlkeme234
triciaal
  • triciaal
not an equation
anonymous
  • anonymous
correct @triciaal I had mentioned previously it was an expression not an equation

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