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CBSE Class 9 Answered

Find the remainder when 3x3 - 4x2 + 7x - 5 is divided by (x - 3) and (x + 3).
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

p(x) = 3x3 - 4x2 + 7x - 5

Remainder when (x - 3) divides p(x) is

= p(3) = 3 33 - 4 32 + 7 3 - 5

= 3 27 - 4 9 + 21 - 5 = 61

Remainder when (x + 3) divides p(x) is

= p(-3) = 3 (-3)3 - 4(-3)2 + 7 (-3) - 5

= 3 (-27) - 4 9 - 21 - 5

= -143

Therefore, the required remainders are 61 and -143.

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