Question

If the remainder is 27 when 4x² + ax + 1 is divided by x + 2 then factorize the polynomial.
Ans.=(x - 1)(x + 2)(x - 2)
ICSE Mathematics Class X Chapter Factorization Dhanpat Rai Publication

Answer 1

Subtracting 27 from 4x^2+ax+1 to make it a multiple of x+2
so we get new polynomial as
4x^2+ax-26
put x=-2
16-2a-26=0
-2a=10
a=-5
so our polynomial is
4x^2-5x+1
=4x^2-4x-x+1
=4x (x-1)-1 (x-1)
= (4x-1)(x-1)

Answer 2

Answer:

answer is (x-1) and (4x-1)

Step-by-step explanation:

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