Question

Divide 2x^2+11x+15byx+3​

Answer 1

Answer:

STEP

1

:

Equation at the end of step 1

STEP

2

:

2x2 - 11x - 15

Simplify ——————————————

x - 3

Trying to factor by splitting the middle term

2.1 Factoring 2x2 - 11x - 15

The first term is, 2x2 its coefficient is 2 .

The middle term is, -11x its coefficient is -11 .

The last term, "the constant", is -15

Step-1 : Multiply the coefficient of the first term by the constant 2 • -15 = -30

Step-2 : Find two factors of -30 whose sum equals the coefficient of the middle term, which is -11 .

-30 + 1 = -29

-15 + 2 = -13

-10 + 3 = -7

-6 + 5 = -1

-5 + 6 = 1

-3 + 10 = 7

-2 + 15 = 13

-1 + 30 = 29