Question

Factor k^2+k-72.................​

Answer 1

(k + 9)(k - 8)

Explanation:

Given

k² + k - 72

Consider the factors of the constant term ( - 72) which sum to give the coefficient of the k- term ( + 1)

The factors are + 9 and - 8, since

9 × - 8 = - 72 and 9 + 8 = + 1, hence

k² + k - 72 = (k + 9)(k - 8)