Question

When the polynomial P(x) = x3 + 3x2-2Ax + 3, where A is a constant, is divided by x2 + 1 we get a remainder equal to -5x. Find A. ​

Answer 1

Divide x(3 + 3x2 -2Ax + 3) by (x2 + 1) to obtain a remainder = -x(1 + 2A)

-x(1 + 2A) = 5x : remainder given

-(1 + 2A) = 5 : polynomials are equal if they corresponding coefficient area equal.

A = -3

Answer 2

${\huge{\red{\mathfrak{answer}}}}$

p(x) = q(x) g(x) + r(x) (By division algorithm)

= (2x2 + 2x - 1) (4x2 + 3x - 2) + 14x - 10

= 8x4 + 6x3 - 4x2 + 8x3 + 6x2 - 4x - 4x2 - 3x + 2 + 14x - 10

= 8x4 + 14x3 - 2x2 + 7x - 8

$<marquee>Miss fisah❤❤❤$

#BE BRAINLY