Question

If the LCM and HCF of polynomials p(x) & q(x) are (x - 2) & (x + 3) then p(x) x​ is

Answer 1

Answer:

Given:

p(x)=?

q(x)=4(x+2)(x+3)

L.C.M =12(x

2

−4)=12(x+2)(x−2)

So, H.C.F = (x−1)(x+3)

Using the formula,

p(x)×q(x)= H.C.F × L.C.M

p(x)=

4(x+2)(x+3)

12(x+2)(x−2)(x−1)(x+3)

=3(x−1)(x−2)

Therefore, p(x) is 3(x−1)(x−2).

Answer 2

Step-by-step explanation:

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