Question 7 (2 points) Factor completely: x^2-x-6 (x+1)(x-6) b (x+2)(x-3) c (x-2)(x+3) d (x-1)(x+6)

Question

Answer 1

To factor the quadratic expression

completely, we need to find two numbers that multiply to

(the constant term) and add up to

(the coefficient of the linear term).Let's find these two numbers:1. The product of the two numbers should be

.2. The sum of the two numbers should be

.The two numbers that satisfy these conditions are

and

, because:- \((-3) \times 2 = -6\)- \((-3) + 2 = -1\)Therefore, we can write the quadratic expression as:

So, the correct answer is:b) \((x+2)(x-3)\)

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