Question

If x2-3x+2 , is a factor of the polynomial x4-ax3+b, then find the values of a and b

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

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.

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