Question

If the polynomial p(x) = x4- 2x + 3x2 - ax + 8 is
divided by (x - 2), it leaves a remainder 10. Find
the value of a.
[CBSE 2010, 2017]​

Answer 1

Answer:

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Step-by-step explanation:

Let g(x)=x-2

g(x)=0

》x-2=0

》x=0+2

》x=2

Then,

p(2)=0

》2×4-2×3+3×2-a×2+8=0

》8-6+6-2a+8=0

》16-2a =0

》-2a=0-16

》-2a=-16

》2a=16

》a=16÷2

》a=8

Value of a is 8.