Question

x³+6x²+11x+6 divided x+3​

Answer 1

━━━━━━━━━━━━━━━━━━━━

Given Expression :

$\sf { \dfrac{x^3+6x^2+11x+6}{x + 3} }$

━━━━━━━━━━━━━━━━━━━━

Steps :

Refer to the attachment for the solution.

Here, we have to divide a polynomial by a polynomial. As in Arithmetic, it is quite a tedious process, so let's understand this division with steps.

➝ Firstly, arrange the polynomials in descending order and set up in the form of a long division.

➝ Divide the first term of the dividend $\sf (x^3)$ by the first term of the divisor $\sf (x)$. Write the quotient above $\sf x^3$.

➝ Multiply the divisor $\sf (x+3)$ by the quotient $\sf x^2$ and write the product below the dividend. Subtract as in ordinary division.

➝ Now, the remainder $\sf (3x^2 + 11x+6)$ is the new dividend. Divide first term of the remainder $\sf (3x^2)$ by $\sf x$ . Write the quotient $\sf (3x)$ above the $\sf x^3$ after $\sf x^2$.

➝ Multiply $\sf (x +3)$ with $\sf 3x$ and subtract.

➝ Now, the remainder $\sf (2x + 6)$ is the dividend. Divide its first term $\sf (2x)$ by $\sf (x)$ and write the quotient $\sf (2)$ above the line.

➝ Multiply $\sf (x +3)$ with $\sf 2$ and subtract. We get the remainder as 0.

So, the required answer is $\bf x^2 + 3x + 2$.

━━━━━━━━━━━━━━━━━━━━

Answer 2

Step-by-step explanation:

hope this helps you

mark me as a brainliest