Question

Simplify quantity x squared plus 5 x plus 6 end quantity over quantity x plus 2

a. x2 + 1
b. x2 − 1
c. x + 3
d. x − 3

Answer 1

c

Explanation:

Given

`(x^2+5x+6)/(x+2)`

Factor the numerator

x² + 5x + 6 = (x + 2)(x + 3) , thus

=
`((x+2)(x+3))/(x+2)`

Cancel the factor (x + 2) on the numerator and denominator, leaving

= x+ 3 → c

Answer 2

C. x+3

Explanation:

Simplifying

x²++5x+6/x+2

Firstly we need to factorize the numerator to have;

x²+5x+6

x²+3x+2x+6

(x²+3x)+(2x+6)

x(x+3)+2(x+3)

x+2(x+3)

The equation will now become;

(x+2)(x+3)/x+2

= x+2 will cancel out x+2 to have x+3 left which is the required function