Factor each polynomial completely. If the polynomial cannot be factored, say it is prime.9x^2-24x+16

e1s2kat26

e1s2kat26

Answered question

2021-09-14

Factor each polynomial completely. If the polynomial cannot be factored, say it is prime.
9x224x+16

Answer & Explanation

yagombyeR

yagombyeR

Skilled2021-09-15Added 92 answers

Factorization of the polynomial is done to obtain the simplest form of the polynomial. it can be factored using different formulas bases upon the gree of the polynomial. Also, any degree of the polynomial can be factored using the formulas of factorization..
The polynomials which cannot be factored in are called prime polynomials.
To factor the expression 9x224x+16, note that the first and last terms of the expression are perfect squares, and the middle term is twice the product of the first and last term, and hence the expression is a perfect square trinomial. Therefore the expression can be factored into its factors using the perfect square trinomial formula a22ab+b2=(ab)2. Substitute a=3x and b=4 in the formula to obtain the factored form of the given polynomial.
9x224x+16=(3x)223x4+42
=(3x4)2
Therefore the factored form of the polynomial is (3x4)2

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