Using remainder theorem, find the value of k so that 4x2 +kx -1 leaves the remainder 2 when divided by - Maths - Polynomials

Question

Using remainder theorem, find the value of k so that 4x2 +kx -1
leaves the remainder 2 when divided by x-3

Varun.Rawat · Accepted Answer

Let px = 4x2+kx-1By remainder theorem when px is divided by x-3, then remainder is given by p3
Now, p3 = 2⇒4 × 32 + k×3 - 1 = 2⇒36+3k - 1 = 2⇒3k+35 = 2⇒3k = 2-35⇒3k = -33⇒k = -333⇒k = -11

Using remainder theorem, find the value of k so that 4x2 +kx -1 leaves the remainder 2 when divided by x-3.