if the polynomial p(x) is divisible by (x-4) and (x-2), then find the polynomial p(x).
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(x-4) and (x-2) are the factors of p(x)
=> 4 and 2 are zeroes of p(x)
α = 4 & β = 2
α+β = -b/a
4 +2 = -b/a
6/1 = -b/a
⇒ b = -6 & a = 1
α×β = c/a
4×2 = c/a
8/1 = c/a
⇒ c = 8
p(x) =ax² + bx + c
p(x) = x² - 6x +8
=> 4 and 2 are zeroes of p(x)
α = 4 & β = 2
α+β = -b/a
4 +2 = -b/a
6/1 = -b/a
⇒ b = -6 & a = 1
α×β = c/a
4×2 = c/a
8/1 = c/a
⇒ c = 8
p(x) =ax² + bx + c
p(x) = x² - 6x +8
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