Question

If $x^2-3x+2$ is a factor of $x^4-p{x}^4+q$, then the values of p and q are

• A. 5, -4
• B. 5, 4
• C. -5, 4
• D. -5, -4

Answer 1

The correct option is B

5, 4

Roots of $x^2-3x+2=1,2$
Put x =1 and x=2 in the $2^{nd}$ equation $x^4-p{x}^2+q$
At x=1, 1-p+q=0 $\Rightarrow$ p-q=1
And at x=2, 16-4p+q=0$\Rightarrow$ 4p-q=16

Thus, p= 5 and q= 4. Option (b)