Question

Find the value of p, if x-p is a factor of x² - px² + 2x + p - 1.​

Answer 1

Answer:

Factors of x

2

−3x+2 are (x−1) and (x−2).

Let f(x)=x

4

−px

2

+q

Since, f(x) is divisible by (x−1) and (x−2)

∴f(1)=0 and f(2)=0

⇒f(1)=1

4

−p(1)

2

+q=0

and f(2)=2

4

−p(2)

2

+q=0

1−p+q=0....(i)

and 16−4p+q=0....(ii)

(i)−(ii), we get

−15+3p=0⇒p=5

putting value of p in eq. (i), we get q=4

Thus, we get

p=5 and q=4.

Step-by-step explanation:

mark me as branlist please