Question

"Select the two binomials that are factors of this trinomial.

x^2-x-12
a) X + 6
b) X + 3
c) X - 6
d) X - 4

Answer 1

Answer: (X-4) and (X+3)

Step-by-step explanation:

this is a second-degree polynomial function (ax²+bx+c), we can know the factors by using the quadratic formula (-b±√(b²-4ac))/(2a)

X=1±√(1-4*-12*1)/2*1

X=1±√(1+48)/2

X=1±√(1+48)/2

X=1±7/2

X=1+7/2= 4

X=1-7/2= -3

The factors are (x-4) and (x+3)

Answer 2

The factors of the trinomial x^2-x-12 are (x-4) and (x+3).

Step-by-step explanation:

The trinomial x^2-x-12 can be factored into two binomials. To find the factors, we need to factor the trinomial by finding two numbers that multiply to give -12 and add up to -1.

The two numbers that satisfy these conditions are -4 and 3. Therefore, the two binomial factors are (x-4) and (x+3).