Sarthaks Test
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The polynomials ax2 +3x2 -3 and 2x3 -5x +a  when divided by (x-4) leave the remainders R1 and R2 respectively. Find the values of a in each of the following cases, if 

(i) R1 = R

(ii) R1 + R2 = 0 

(iii) 2 R1 − R2 = 0.

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Let p(x) = ax2 +3x2 -3 and q(x) = 2x3 -5x +a be the given polynomials.

Now,

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