Question

if the polynomials (2x3+ax2+3x-5) and(cx3+x2-2x+3) leave remainder r1 and r2 when divided by (x-2) such that r1 =r2, find a​

Answer 1

Answer:

-13/3

Step-by-step explanation:

f(2) = g(2)

2x³ + ax² + 3x – 5 = x³ + x² -4x + a

2(2)³ + a(2)² + 3(2) – 5 = 2³ + 2² – 4(2) + a

2(8) + a(4) + 6 – 5 = 8 + 4 – 8 + a

16 + 4a + 1 = 4 + a

17 + 4a = 4 + a

4a – a = 4 – 17

3a = -13

a = -13/3.

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