Question

If 3x3 – 5 x2 + 16x + kis exactly divisible by 3x – 2 find k. Write the answer for 'k' in the blank​

Answer 1

Since the given polynomial is exactly divisible by x 2 −5x+6=(x−2)(x−3) , it should be exactly divisible by x−2 and x−3 as well.

∴ By remainder theorem, at x=2;16−24+20−66+b=0⇒b=54

Answer 2

Since the given polynomial is exactly divisible by

x 2 −5x+6=(x−2)(x−3) ,

it should be exactly divisible by

x−2 and x−3 as well.

∴ By remainder theorem,

at x=2;16−24+20−66+b=0⇒b=54

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