CBSE Class 9 Answered
The polynomials p(x) =ax^3 +3x^2 -3 and q(x) = 2x^3 - 5x +a when divided by (x-4) leave te remainder R1 and R2. Find 'a' if R1 +R2=0. Factorise the polynomial
Asked by Nimmi | 19 Jan, 2019, 07:47: PM
Expert Answer
p(x) = ax3 +3x2 -3 ..................(1)
q(x) = 2x3 -5x + a ...................(2)
if we divide the above polynomials by (x-4) and we get remainders R1 and R2 , then p(4) = R1 and q(4) = R2 .
p(4) = a(4)3 + 3(4)2 -3 = 64a + 48 -3 = 64a + 45 = R1 ........................(1)
q(4) = 128-20+a = a + 108 = R2 ............................(2)
By adding, eqn.(1) and eqn.(2), 65a + 153 = R1+R2 = 0
Hence a = -153/65
Answered by Thiyagarajan K | 19 Jan, 2019, 11:07: PM
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