p(x) = g(x) X ______ + r(x).[fill this blank] *
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Answered by
0
Answer:
We know the formula,
Dividend = Divisor x quotient + Remainder
p(x)=g(x)×q(x)+r(x)
So here the degree of quotient will be equal to degree of dividend when the divisor is constant.
Let us assume the division of 4x
2
by 2.
Here, p(x)=4x
2
g(x)=2
q(x)= 2x
2
and r(x)=0
Degree of p(x) and q(x) is the same i.e., 2.
Checking for division algorithm,
p(x)=g(x)×q(x)+r(x)
4x
2
=2(2x
2
)
Hence, the division algorithm is satisfied.
Answered by
5
p(x) = g(x)×q(x) + r(x).
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