Question

Find the value of c that makes each trinomial a perfect square.
x² + 3x+c

Answer 1

2

Explanation:

Plug in 2 for c in the equation:

x² + 3x + 2

x 2

x 1

(x + 2)(x + 1)

Check. Use the FOIL method:

(x)(x) = x²

(x)(1) = x

(2)(x) = 2x

(2)(1) = 2

x² + x + 2x + 2

Combine like terms:

x² + (x + 2x) + 2

x² + (3x) + 2

2 can be a answer for c.

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