Question

What is the factored form?

x² + x - 6

(x - 3)(x - 2)


(x + 3)(x - 2)


(x + 6)(x - 1)


(x - 6)(x + 1)

Answer 1

Hello!

To find the factored form of the expression, x² + x - 6, we need to find two numbers that multiply to equal -6, and those same two numbers that must add up to equal 1.

We can find the factors of 6 first. Those factors are: 1, 2, 3 and 6.

Since the middle term is a positive number and the constant term is negative, the larger number has to positive, and there has to be another number that is negative, and smaller than the larger number.

With that, we can come to a conclusion of 3 × -2 = -6, and 3 + -2 = 1.

Therefore, the factored form of x² + x - 6 is (x + 3)(x - 2), the second choice.

Answer 2

Hey there!!

Given equation :

... x² + x - 6 = 0

... x² -2x + 3x - 6 = 0

... x ( x - 2 ) + 3 ( x - 2 ) = 0

... ( x + 3 ) ( x - 2 ) = 0

Option ( b )

Hope it helps!