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Polynomials
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05/07/2021 10:49 am
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Find the zero of the polynomials in each of the following cases:
(i) p(x) = x + 5
(ii) p(x) = x – 5
(iii) p(x) = 2x + 5
(iv) p(x) = 3x – 2
1 Answer
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05/07/2021 10:51 am
(i) p(x) = x+5
p(x) = x+5
⇒ x+5 = 0
⇒ x = −5
∴ -5 is a zero polynomial of the polynomial p(x).
(ii) p(x) = x–5
p(x) = x−5
⇒ x−5 = 0
⇒ x = 5
∴ 5 is a zero polynomial of the polynomial p(x).
(iii) p(x) = 2x+5
p(x) = 2x+5
⇒ 2x+5 = 0
⇒ 2x = −5
⇒ x = -5/2
∴x = -5/2 is a zero polynomial of the polynomial p(x).
(iv) p(x) = 3x–2
p(x) = 3x–2
⇒ 3x−2 = 0
⇒ 3x = 2
⇒ x = 2/3
∴x = 2/3 is a zero polynomial of the polynomial p(x).