Linear Division of Polynomials

Q.

Frame the formula for the condition:

The product of three consecutive numbers (with smallest number $x$) is $210$.

Q. Find the quotient when divided $3x^2+3$ by $x+1$ using linear division method .

1. $3x-3$
2. $3x-4$
3. $2x-3$
4. $3x-7$

Q. Find the remainder when $x^3+3x^2+3x+1$ is divided by
(i) $x+1$
(ii) $x-\frac{1}{2}$
(iii) $x$
(iv) $x+\pi$
(v) $5+2x$

Q. Find the quotient when divided $x^2+1$ by $x+1$ using linear division method .

1. $x+1$
2. $2x-1$
3. $x-2$
4. $x-1$

Q. Find the remainder when $x^3-a{x}^2+6x-a$ is divided by $x-a$.

Q. Divide $f\left(x\right)$ by $g\left(x\right)$, $f\left(x\right)=x^3-125,g\left(x\right)=x^2+5x+25$. The quotient obtained will be.

1. $x^2+5x$
2. x - 5
3. x + 5

Q.

When a polynomial is divided by (x+2), the quotient and remainder are (2x-1) and 3 respectively. Find the polynomial.

1. $2x^2+6x+11$

2. $5x^2+3x+8$

3. $6x^2+3x+9$

4. $2x^2+3x+1$

Q. Divide $f\left(x\right)$ by $g\left(x\right)$, $f\left(x\right)=x^3-125,g\left(x\right)=x^2+5x+25$. The quotient obtained will be.

1. x + 5
2. x - 5
3. $x^2+5x$

Q. Divide $f\left(x\right)$ by $g\left(x\right)$, $f\left(x\right)=x^3-125,g\left(x\right)=x^2+5x+25$. The quotient obtained will be.

1. x - 5
2. $x^2+5x$
3. x + 5

Q. Divide $f\left(x\right)$ by $g\left(x\right)$, $f\left(x\right)=x^3-125,g\left(x\right)=x^2+5x+25$. The quotient obtained will be.

1. $x^2+5x$
2. x + 5
3. x - 5

Q.

What is the degree of 7x + 1?

1. 2

2. 7

3. 0

4. 1