Question

Divide P(x) = 21 + 10x + x2 by g(x) = 2 + x and find the quotient and the remainder.​

Answer 1

Answer:

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We know that the division algorithm states that:

Dividend=(Divisor×quotient)+Remainder

Here it is given that the dividend is p(x)=4x

3

+2x

2

−10x+2, the divisor is g(x), the quotient is 2x

2

+4x+1 and the remainder is 5, therefore,

4x

3

+2x

2

−10x+2=[g(x)(2x

2

+4x+1)]+5

⇒g(x)=

2x

2

+4x+1

4x

3

+2x

2

−10x+2

The division is shown above.

Hence, from the above division, we get that the divisor is g(x)=2x−3

Step-by-step explanation:

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Answer 2

p=21 +10×

g=2+×

= p÷g

= 31÷4

=7.40