Math, asked by ncjimmy487, 5 months ago

x³+6x²+11x+6 divided x+3​

Answers

Answered by Yuseong
3

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Given Expression :

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

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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 .

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Answered by badolamamta68
1

Step-by-step explanation:

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