How do you factor the trinomial b2−b−6?

2 Answers
Mia
Oct 12, 2016

(b−3)(b+2)

Explanation:

In the given polynomial we can not use the identities to fatorize.
Let us chek this :
X2+SX+P=0
where:

We have to find two real numbers such that:
S=m+n
P=m⋅n

In the given polynomial
m=−3andn=2
So, S=−1andP=−6

b2−b−6
=(b−3)(b+2)

Monzur R.
Oct 12, 2016

(b−3)(b+2)

Explanation:

In order to factorise any quadratic expression in the form ax2+bx+c,a≠0, we need to find two numbers whose product gives c and whose sum gives b.

In this case, b=−1 and c=−6. Since this is a relatively simple quadratic, one can easily figure out that the two numbers we need are −3 and 2:

−3×2=−6
−3+2=−1

b2−b−6=(b−3)(b+2)

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