Factor completely each polynomial, and indicate any that are not

maduregimc

maduregimc

Answered question

2021-12-17

Factor completely each polynomial, and indicate any that are not factorable using integers. x39x

Answer & Explanation

Jeffery Autrey

Jeffery Autrey

Beginner2021-12-18Added 35 answers

Step 1
A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Factoring polynomials involves breaking up a polynomial into simpler terms (the factors) such that when the terms are multiplied together they equal the original polynomial.
Step 2
The given polynomial is x39x. Simplify the polynomial and write it in factored form by taking the common terms out as follows;
x39x=x(x29)...Take the common term out.
=x(x233)
=x(x-3)(x+3)...Use difference two square a2b2
=(a-b)(a+b).
Hence, the given polynomial is factored completely and is equal to x39=x(x3)(x+3).
Wendy Boykin

Wendy Boykin

Beginner2021-12-19Added 35 answers

Consider the polynomial x39x.
Taking out the common factor x from the above polynomial.
x39x=x(x29)
Now the above polynomial can be factorized as follows.
x(x29)=x(x232) Match the polynomial with a2b2 form
=x(x+3)(x-3) as a2b2=(a+b)(ab)
So the Complete factor is x(x+3)(x-3).

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