Question

(2x³5x² + 3x-6) + (x+4)
Use long division

Answer 1

We can use long division to divide the polynomial (2x³5x² + 3x-6) by the binomial (x+4).

x + 4 | 2x³ + 5x² + 3x - 6

- (2x³ + 8x²)

---------------

2x² - 3x + 15

____________________

-3x² + 3x

- (-3x² - 12x)

---------------

15x - 6

- (15x + 60)

----------

-66

Therefore, the quotient is 2x² - 3x + 15, and the remainder is -66.