Question

Divide x^4+3x^3-2x^2+4 by x-2which answer shows the correct synthetic division and quotient

Answer 1

Answer:

option-A

$\frac{x^4+3x^3-2x^2+4}{x-2}=x^3+5x^2+8x+16+\frac{36}{x-2}$

Step-by-step explanation:

we are given

divisor is

$=x^4+3x^3-2x^2+4$

Dividend is

=x-2

so, we can use synthetic division

so, we can write our expression as

$\frac{x^4+3x^3-2x^2+4}{x-2}=x^3+5x^2+8x+16+\frac{36}{x-2}$

so,

option-A