Question

Using remainder theorem, check whether p(x) is a multiple of g(x) or nork: p(x) = 2x'-11x?- 4x + 5, and g(x) = 2x+1.

with explanation

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Answer 1

Answer:

⇒p(x)=2x

7

−11x

2

−4x+5

g(x)=2x+1

Now, if

g(x)

p(x)

is not divisible or we get a remainder on dividing, we can say g(x) is not a factor of g(x)

So, Q(x)=x

2

−5x

R(x)=x+5

since we get the remainder, non zero, we can say g(x) is not a factor of p(x).

Hence, solved.