Question

Q.1 Using the method of long division, find the quotient
(x3 + 6x2 - x - 18) - (x + 2)​

Answer 1

$\underline{ \underline{ \Large \pmb{\sf { {Answer :}} }} }$

• Quotient = x² + 4x - 9

$\underline{ \underline{ \Large \pmb{\sf { {Clarification :}} }} }$

Here, we have to divide a polynomial by a polynomial. Steps invoved to solve this question are as follows::

• Firstly, we arranged the polynomials in descending order and then set up in the form of a long division.

• Then we divided the first term of the dividend $\rm {( {x}^{3}) }$ by the first term of the divisor $\rm {( x) }$ . Then after dividing, we wrote the quotient above $\rm {( {x}^{3}) }$.

• Then, we multiplied the divisor (x + 2) by the quotient x² and wrote the product below the dividend. And, subtracted as in ordinary division.

• After that, the remainder had become the new dividend. We divided first term of remainder 4x² by x. Then, we wrote the quotient 4x above.

• Same as we did in step 3 , we multiplied (x-2) by 4x.

• The remainder -9x - 18 is the dividend. We divided its first tem -9x by x and wrote above the line. Then, we multiplied (x-2) by -9 and performed subtraction.

So, the answer is x² + 4x - 9.

Answer 2

Step-by-step explanation:

hope it helps to you my friend