Question

Polynomial division(4x^2 +7x +6) ÷(x+ 2)​

Answer 1

Answer:

4x2 + 7x - 6

 ————————————

    x - 2

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

There are many methods but I give you the factorisation:

$4x^{2} +7x+6= 4x^{2} + 8x - x - 2 +8= (4x^{2} + 8x )- (x + 2) +8\\= 4x(x+2)-(x+2) -8\\=(x+2)(4x-1) +8$

So

$\frac{4x^{2} +7x+6}{x+2}=\frac{(x+2)(4x-1)+8}{x+2} =\frac{(x+2)(4x-1)}{x+2}+\frac{8}{x+2}\\ \\=4x-1 +\frac{8}{x+2}$

That means the quotient is 4x-1 and the remainder is 8.