Question

Divide 3x
²+ 4x + 1 by x - 2.​

Answer 1

Answer:

Quotient = 3x + 10

Remainder = 21

Step-by-step explanation:

Here, we have to divide a polynomial by a polynomial. Steps to follow :

Here,

• Divisor = (x - 2)
• Dividend = (3x²+ 4x + 1)

⑴ Arrange the polynomials in descending order and set up in the form of a long division.

⑵ Divide the first term of the dividend $\rm (3x^2)$ by the first term of the divisor $\rm (x)$. Write the quotient above $\rm (3x^2)$.

⑶ Multiply the divisor $\rm (x -2)$ by the quotient $\rm (3x)$ and write product below the dividend. Now, subtract as in ordinary subtraction.

⑷ Now, the remainder in the new dividend. Divide first term of the remainder $\rm 10x + 1$ by the first term of the divisor $\rm (x)$.Write the quotient $\rm 10$ above.

⑸ Multiply $\rm (x -2)$ with $\rm 10$ and subtract.

⑹ Now, the remainder the we got is $\bf 21$ and the quotient is $\bf (3x +10)$.