Question

N²-n-56 factoring trinomials

Answer 1

(n - 8)(n + 7)

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Given trinomial:

• n² - n - 56

Apply Viet's theorem.

The sum of the roots is 1 and the product of the roots is - 56.

This is achieved when the roots are 8 and - 7.

• n² - n - 56 =
• (n - 8)(n - (-7)) =
• (n - 8)(n + 7)