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Polynomials
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05/07/2021 10:53 am
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Find the zero of the polynomials in each of the following cases:
(i) p(x) = 3x
(ii) p(x) = ax, a0
(iii) p(x) = cx + d, c ≠ 0, c, d are real numbers.
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05/07/2021 10:56 am
(i) p(x) = 3x
p(x) = 3x
⇒ 3x = 0
⇒ x = 0
∴0 is a zero polynomial of the polynomial p(x).
(ii) p(x) = ax, a0
p(x) = ax
⇒ ax = 0
⇒ x = 0
∴x = 0 is a zero polynomial of the polynomial p(x).
(iii) p(x) = cx + d, c ≠ 0, c, d are real numbers.
p(x) = cx + d
⇒ cx+d =0
⇒ x = -d/c
∴ x = -d/c is a zero polynomial of the polynomial p(x).