Question

Given f(x) = 3x3 – 5x2 – 10 and g(x) = x3 + 5x – 3 are two polynomials. If f(x) and g(x) both are divided by (x –2), then the obtained remainders are r1 and r2 respectively. The value of (r1+ r2 – r1r2) is

Answer 1

Answer:

99

Step-by-step explanation:

By remainder theorem,

for f(x) r1 = 24 - 20 - 10

= -6

for g(x) r2 = 8 + 10 - 3

= 15

r1 + r2 - r1*r2

= -6 + 15 + 90

= 99

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