Question

If (4x^(2)-1) is a factor of 12x^(3)+px^(2)+qx-1 then find p and q​

Answer 1

Ple check the question

because we have to find 2 variables . So for that we need 2 factor

Answer 2

Step-by-step explanation:

If x2+x–1 is a factor of x4+px3+qx2–1 , then can the values of p and q be (1)2,1(2)1,–2(3)–1,–2(4)–2,–1?

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Let x4+px3+qx2–1=(x2+x–1)(x2+tx+1)(1)

Note that coeff. of x2 and constant have been chosen to suit the product.

x4+px3+qx2–1=x4+(t+1)x3+tx2+(t−1)x–1

Comparing coefficients t−1=0⟹t=1

p=t+1=2