Question

x^4-7x^3+17x^2-17x+6 and zero of polynomial are 3, 1 and find the factor of the polynomial

Answer 1

x4 - 7x3 + 17x2 - 17x + 6
- divisor * x3 x4 - 3x3
remainder - 4x3 + 17x2 - 17x + 6
- divisor * -4x2 - 4x3 + 12x2
remainder 5x2 - 17x + 6
- divisor * 5x1 5x2 - 15x
remainder - 2x + 6
- divisor * -2x0 - 2x + 6
remainder 0
Quotient : x3-4x2+5x-2 Remainder: 0

Answer 2

Hope it helps u.......
The method used here is known as vanishing method.....