Zero Polynomial

Q.

Show that $3$ is the zero of the polynomial $p\left(x\right)=x^3-8x^2+8x+21$.

Q. $\text{If}p\left(x\right)=x^2+2x+5,$
$\text{then calculate the value of}p\left(0\right)?$

1. 0
2. 5
3. 10
4. 4

Q. Which of the following is the coefficient of the given term?

$5x^4$

1. $5x^4$
2. $5$
3. $5x^4$
4. $4$

Q.

Is $a^3-\frac{1}{a^3}+a^2+1$ a polynomial or not?

Q.

No term of a polynomial can be of the form $\frac{1}{x},\frac{1}{x},\frac{1}{x^3}$etc.

1. True
2. False

Q. What is the value of the polynomial $\frac{5x+6}{2}$ for $x=6$ ?

1. 18
2. 16
3. 14
4. 12

Q.

Is $x{y}^3+y{z}^2-x{z}^3$ a polynomial or not?

Q.

Is the expression $a-\frac{1}{a^2}$polynomial or not? If not write the reason.

Q. Find the value of the expression
$(x^5+x^2+x)\text{at}x=1.$

1. 2
2. -1
3. 3
4. 8

Q.

The zero of the polynomial p(x) = ax+b is ______.

1. $\frac{a}{b}$

2. $-\frac{a}{b}$

3. $\frac{b}{a}$

4. $-\frac{b}{a}$

Q. Find the value of
$(3x^3+2x^2+11)\text{at}x=-1.$

1. 11
2. -10
3. 7
4. 10

Q. Which of the following is a zero of the
$\text{polynomial}{x}^2-4?$

1. 2
2. 4
3. 0
4. 1

Q. The degree of a zero polynomial is .

1. zero
2. variable
3. constant
4. undefined

Q. The degree of a zero polynomial is .

1. zero
2. variable
3. constant
4. undefined

Q. A constant polynomial is a monomial with degree zero.

1. False
2. True

Q. Find the value of the expression
$(x^2+x+1)\text{at}x=-1.$

1. 1
2. -3
3. -1
4. 3