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Which of the following is a polynomial?
-x3 + 5
Exponents of polynomials should be a whole number.
∴ -x3 +5 is a polynomial.
If p(x) is a polynomial of degree ‘n’, where n __1 and a ε R, then (x - a) is a factor of p(x) if p(a) = 0.
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If p(x) is a polynomial of degree ‘n’, where n ≥ 1 and a ε R, then (x - a) is a factor of p(x) if p(a) = 0.
Which of the following is the factor of p(x) = x3 + x2 - 22x − 40?
(x - 1)
(x + 2)
(x + 3)
(x - 5)
Zero of (x + 2) is given by
x + 2 = 0
∴ x = −2
p(x) = x3 + x2 - 22x - 40
= (−2)3 + (−2)2 - 22 × (−2) − 40
= −8 + 4 + 44 - 40
= 0
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