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2014-08-31T21:06:07+05:30

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Reminder\of\ 2x^3+3x^2-a = 2*2^3+3*2^2-a = 16+12-a =28-a \\ \\ Reminder\ of\ ax^2-5x+2= a*2^2-5*2+2 = 4a-10+2 = 4a- 8\\ \\ 28 - a = 4a - 8 \\ \\ 28+8 = 4a+a \\ \\ 5a = 36 \\ \\ a = 36/5 \\
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2014-09-01T11:40:27+05:30
Remainder when 2x^3 + 3x^2 - a is divided by (x - 2) is

2(2)^3 +3(2)^2 - a \Rightarrow  28 - a

Remainder when ax^2 - 5x + 2 is divided by (x - 2) is

a(2)^2 - 5(2) + 2 \Rightarrow 4a-8

Give the remainders equal.

28 - a = 4a - 8

⇒ 5a = 36

⇒ a = 7.2
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