CBSE Class 9 Answered
Q-10
Let A and B be the remainders, when the polynomials 
Asked by kishor.kp14 | 18 Jun, 2019, 10:20: AM
Expert Answer
y3 + 2y2 - 5ay - 7 is divided by (y + 1), then A is the remainder.
→ f(-1) = A
→(-1)3 + 2(-1)2 - 5a(-1) - 7 = A
→ -1 + 2 + 5a - 7 = A
→ 5a - 6 = A ... (i)
y3 + ay2 - 12y + 6 is divided by (y - 2), then B is the remainder.
→ f(2) = B
→ (2)3 + a(2)2 - 12(2) + 6 = B
→ 8 + 4a - 24 + 6 = A
→ 4a - 10 = B ... (ii)
2A + B = 6 .... given
→2(5a - 6) + 4a - 10 = 6 .... from (i) and (ii)
→10a - 12 + 4a - 10 = 6
→ 14a - 22 = 6
→ 14a = 28
→ a = 2
Answered by Yasmeen Khan | 18 Jun, 2019, 11:25: AM
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