Question

I need help ASAPPPPP

Answer 1

The quotient of 2x³ + 3x² + 5x - 4 divided by x² + x + 1 is
`2x + 1 \ + (2x - 5)/(x^2 + x +1)` .

How to find the quotient of polynomial?

The quotient of 2x³ + 3x² + 5x - 4 divided by x² + x + 1 is determined by applying the following method as shown below;

2x + 1

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

(x² + x + 1) | (2x³ + 3x² + 5x - 4)

- (2x³ + 2x² + 2x)

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

x² + 3x - 4

- (x² + x + 1)

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

2x - 5

So when the polynomial 2x³ + 3x² + 5x - 4 is divided by x² + x + 1, the quotient is 2x + 1 and the remainder is 2x - 5.

`(2x^3 + 3x^2 + 5x - 4)/(x^2 + x +1 ) = 2x + 1 \ + (2x - 5)/(x^2 + x +1)`