Question

what must be added to the polynomial P (x) x raise to 4 + 2 x cube minus 2 X square + 5 x + 7 so that the resulting polynomial is exactly divided by g(x) x square + 2 x minus 3 and the degree of the polynomial to be added must be less than the degree of G(x)​

Answer 1

Answer:

( - 3x - 10 )

Step-by-step explanation:

p(x) = $x^{4}$ + 2x³ - 2x² + 5x + 7

g(x) = x² + 2x - 3

The remainder of p(x) ÷ g(x) is (3x + 10)

$x^{4}$ + 2x³ - 2x² + 5x + 7 + ( - 3x - 10 ) = $x^{4}$ + 2x³ - 2x² + 2x - 3