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PLEASE HELP I'M SO CLOSE TO BEING DONE

PLEASE HELP I'M SO CLOSE TO BEING DONE-example-1
User Snersesyan
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Answer:

see explanation

Explanation:

the perimeter (P) is the sum of the 3 sides of the triangle.

P = 4x² + 1 + 26x + 6 + x² + 10x ← collect like terms

= 5x² + 36x + 7

to factor the expression, consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 5 × 7 = 35 and sum = 36

the factors are + 35 and + 1

use these factors to split the x- term

5x² + 35x + 1x + 7 ( factor the first/second and third/fourth terms )

= 5x(x + 7) + 1 (x + 7) ← factor out (x + 7) from each term

= (x + 7)(5x + 1) , then

P = (x + 7)(5x + 1) ← in factored form

User Bar Horing
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