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Do Homework abigail perez a Firefox ge a https://www.mathood.com/student/PlayerHomework aspx?homeworkid-398 Math 60 Intermedi Homework: Homework 7 (5.7,5.6) Score: 0 of 1 pt 13 of 39 (36 co 5.6.41 Use substitution to factor the polynomial completely. (a -1? 6 (a- 1)- 40 Select the correct choice below and fill in any answer box within your choice. A. (a -1)2-6(a-1)- 40 (Simplify your answer.) O O B. (a -1? -6(a -1)-40 is prime. Click to select and enter your answer(s) and then click check Answer Clear All All parts showing

Explanation / Answer

Given polynomial is (a-1)2-6(a-1)-40

Need to find the factors by substitution method.

Substitute a-1=x

(a-1)2-6(a-1)-40 = x2-6x-40

= x2-10x+4x-40

= x(x-10)+4(x-10)

= (x-10)(x+4)

= (a-1-10)(a-1+4)

= (a-11)(a+3)

Therefore, (a-1)2-6(a-1)-40 = (a-11)(a+3)

So, Option A is correct, filll the blank with (a-11)(a+3).

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