If the remainder can divide the polynomial 2x^4 - kx^2 + 5x - 3k +3 (x+2) is 4 then - Maths - Polynomials

Question

If the remainder can divide the polynomial 2x^4 - kx^2 + 5x - 3k +3
?(x+2) is 4 then find the value of k?

Varun.Rawat · Accepted Answer

Let px = 2x4 - kx2 + 5x - 3k + 3Let gx = x + 2Now, by remainder theorem, when px is divided by x+2, then remainder is p-2
Now, p-2 = 4⇒2-24 - k-22 + 5-2 - 3k + 3 = 4⇒32 - 4k - 10 - 3k + 3 = 4⇒-7k+25 = 4⇒-7k = -21⇒k = 217 = 3

If the remainder can divide the polynomial 2x^4 - kx^2 + 5x - 3k +3 ?(x+2) is 4 then find the value of k?