Answer:

factor:

(x-3) (x-2)

x-intercept

(-3, 0)

y-intercept

3

(0, - ----)

2

Step-by-step explanation:

Factor the expression by grouping. First, the expression needs to be rewritten as x

2

+ax+bx+6. To find a and b, set up a system to be solved.

a+b=−5

ab=1×6=6

Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 6.

−1,−6

−2,−3

Calculate the sum for each pair.

−1−6=−7

−2−3=−5

The solution is the pair that gives sum −5.

a=−3

b=−2

Rewrite x

2

−5x+6 as (x

2

−3x)+(−2x+6).

(x

2

−3x)+(−2x+6)

Factor out x in the first and −2 in the second group.

x(x−3)−2(x−3)

Factor out common term x−3 by using distributive property.

(x−3)(x−2)