Answer to Question #10528 in Algebra for Manthan khorwal

Question

If the polynomial p(x)=x4-2x3+3x2-ax+8 is divided by(x-2),it leaves a remainder10.Find the value of a.

Answer 1

x^4 - 2x^3 + 3x^2 - ax + 8 | x - 2
x^4 - 2x^3 | x^3
+ 3x + (-a-6)
3x^2 - 6x

(-a-6)x + 8
(-a-6)x + 2a +
12
8 - 2a -12

8 - 2a - 12 =
10
2a = -14
a = -7