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CBSE Class 9 Answered

If p(x) = x3 - ax2 + bx + 3 leaves a remainder - 19 when divided by (x + 2) and a remainder 17 when divided by (x - 2), prove that a + b = 6.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

Here, p(-2) = -8 - 4a - 2b + 3 = -19

4a + 2b = 14 … (1)

And, p(2) = 8 - 4a + 2b + 3 = 17

-4a + 2b = 6 … (2)

Adding (1) and (2), we get

4b = 20 b = 5

From (1), 4a + 10 = 14

Or, 4a = 4

Or, a = 1

Hence, a + b = 6

Answered by | 04 Jun, 2014, 03:23: PM
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