Question

Use the quadratic expression 25x2−y2 to answer the questions.

A: Which statement describes the correct method to factor the quadratic expression?
B: What are the factors of the quadratic expression?
Select one answer for question A, and select two answers for question B.
A: This quadratic expression can be factored by using the perfect square trinomial pattern.
A: This quadratic expression can be factored by finding the correct pair of binomial factors.
A: This quadratic expression can be factored by using the difference of squares pattern.
B: (5x+y)
B: (x+5y)
B: (5x+5y)
B: (x−5y)
B: (5x−y)
B: (5x+5y)

Answer 1

Part A)

This quadratic expression can be factored by using the difference of squares pattern.

Part B) (5x+y) and (5x-y)

Explanation:

Given:

25x^2-y^2

above polynomial can be factorize by using difference of squares formula

a2-b2=(a+b)(a-b)

25x^2-y^2= (5x-y)(5x+y)

so for part A)

correct option is This quadratic expression can be factored by using the difference of squares pattern.

Part B)

As factored above in part A,

the factors of given polynomial 25x^2-y^2 are (5x+y)(5x-y)

so for part B) correct options are (5x+y) and (5x-y) !