CBSE Class 9 Answered
Given a polynomial p(x) = x2 - 5x + 4.
(A) Find the value of the polynomial p(x) at x = 2
(B) Check whether x is a factor of p(x).
(C) Factorise p(x).
Asked by Topperlearning User | 14 Sep, 2017, 01:31: PM
Expert Answer
p(x) = x2 - 5x + 4
(A)
p(2) = 22 - 5(2) + 4 = 4 - 10 + 4 = -2
(B)
p(0) = 02 - 5 
0 + 4 = 4
x - 0 = x is not a factor of p(x).
(C)
x2 - 5x + 4
= x2 - 4x - x + 4
= x(x - 4) - (x - 4)
= (x - 1)(x - 4)
Answered by | 14 Sep, 2017, 03:31: PM
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