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How do you factor #-x^2 - x + 6#?

Answer 1

Hazel Anglin

#(x+3) & (x-2)#

#-x^2-x+6#

#x^2+x-6#

#x^2+3x-2x-6#

#x(x+3)-2(x+3)#

#(x+3)(x-2)#

Factors of above equation are #(x+3) & (x-2)#

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Answer 2

Savannah Anderson

To factor the quadratic expression (-x^2 - x + 6), we look for two numbers that multiply to (-1 \times 6 = -6) (the coefficient of the (x^2) term multiplied by the constant term) and add up to the coefficient of the (x) term, which is -1.

The two numbers are -3 and 2, because (-3 \times 2 = -6) and (-3 + 2 = -1).

Therefore, the factored form of (-x^2 - x + 6) is (-(x + 3)(x - 2)).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.