Answer to Question #241992 in Algebra for sophia

Question #241992

Factor the given polynomial completely. If the polynomial cannot be factored, say that it is prime.

x²- x -56

Is this prime, if not what is it equal to? please show work

Expert's answer

x² - x - 56 = 0

x² - 8x + 7x -56 = 0

x(x-8) + 7(x-8) = 0

(x-8)(x+7) = 0

x-8 = 0 and x+7 = 0

x= 8 and x = -7

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