Find the H.C.F of the following polynomials. b) 3(x2-9)(X+4) and 12(x-3)2
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H.C.F of [p(x), q(x)] = 3x (x - 3).
Solution:
Given two Polynomials =
→ p(x) = 3(x² - 9) (x + 4).
→ q(x) = 12(x - 3)²
→ p(x) = 3 (x² - 3²) (x + 4) = 3(x + 3) (x - 3) (x + 4)
→ q(x) = 12 (x - 3)²
= 2 × 2 × 3 (x - 3) (x - 3)
H.C.F of [p(x), q(x)] = 3x (x - 3).
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