Rewrite each polynomial as the product of two binomials.

1. y^2 + 6y + 9

2. 25x^2 - 10x + 1

3. 36 - y^2

I don't understand how to do these problems, especially what the direction is telling me to do. Someone help me please?

3 answers

They want you to factor the polynomials. For example,
36 - y^2 = (6 + y)(6 - y)

The other two are perfect squares of monomials. Make an effort to solve them. Someone will critique your efforts
(a+b)^2 = a^2 + 2 a b + b^2
(a-b)^2 = a^2 - 2 a b + b^2
Damon has given you some useful hints to solve 1. and 2. For example, in #2, let 5x = a and 1 = b and see what you get.
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