Question

answer the figure question​

Answer 1

HØĹÄ!✌

Refer the attachment..

Answer 2

Answer:

Verified division algorithm.

Step-by-step explanation:

Given :

$\large p(x)=5x^3-13x^2+21x-14 \ and \ g(x)=3-2x+x^2$

For division refer to attachment.

We get

$\large f(x)=5x-3 \ and \ r(x)=30x-23$

Verification:

We have division algorithm

$\large p(x)=f(x).g(x)+r(x)$

Putting values here

$\large R.H.S.=(5x-3)(x^2-2x-3)+(30x-23)\\\\\\\large R.H.S.=5x^3-10x^2-15x-3x^2+6x+9+30x-23\\\\\\\large R.H.S.=5x^3-10x^2-3x^2+6x-15x+30x-23+9\\\\\\\large R.H.S.=5x^3-13x^2+36x-15x-14\\\\\\\large R.H.S.=5x^3-13x^2+21x-14$

Hence verified.

Thus we get answer.