Question

Identify the factors of 9x2 + 30x + 25.

A) (3x − 5)(3x − 5)
B) (3x + 5)(3x + 5)
C) (9x + 5)(x + 5)
D) (9x − 5)(x − 5)

Answer 1

B is correct

Explanation:

The signs of the coefficients tell you the binomial factors must have both signs positive (selections B and C only). Selection B produces an x-term that is 15x+15x=30x (as we want); selection C produces an x-term that is 45x+5x=50x (not what we want).

Answer 2

Selection B is appropriate.

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The signs of the coefficients tell you the binomial factors must have both signs positive (selections B and C only). Selection B produces an x-term that is 15x+15x=30x (as we want); selection C produces an x-term that is 45x+5x=50x (not what we want).