Types of Polynomials Based on the Degree of the Polynomial

Q. Which of the following is a linear polynomial ?

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

Q. Which of the following is a linear polynomial ?

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

Q.

Question 5
Classify the following as constant, linear, quadratic and cubic polynomials.

(i) $2–x^2+x^3$

(ii) $3x^3$

(iii) $5t-\sqrt{7}$

(iv) $4–5y^2$

(v) $3$

(vi) $2+x$

(vii) $y^3-y$

(viii) $1+x+x^2$

(ix) $t^2$

(x) $\sqrt{2}x-1$

Q. $\text{If both}(x-2)\text{and}(x-\frac{1}{2})\text{are factors of}p{x}^2+5x+r,\text{then:}$

1. $p+r=0$
2. $p-r=0$
3. $2p+r=0$
4. $p+2r=0$

Q. Classify the following as constant, linear, quadratic and cubic polynomials.

(i) $2–x^2+x^3$

(ii) $3x^3$

(iii) $5t-\sqrt{7}$

(iv) $4–5y^2$

Q. Match the following:

1. Quadratic polynomial
2. Linear polynomial
3. Cubic polynomial
4. Constant polynomial

Q. ‘$x^{-2}+3$’ is a polynomial.

1. True
2. False

Q.

What kind of function is f(x) =3x?

1. Cubic Function

2. Linear Function

3. Exponential

4. Quadratic Function

Q. $\text{Using factor theorem find which of the}\text{following is a factor of the polynomial}p\left(x\right)=3x^2+10x+7.$

1. $(x+1)$
2. $(x+7)$
3. $(x-1)$
4. $(x-7)$

Q. The polynomial which has the degree 3 is called as ______ polynomial.

1. Linear
2. Quadratic
3. Cubic
4. None of the above

Q. A polynomial of degree 2 is called a quadratic polynomial.

1. True
2. False

Q. A polynomial can be formed with any number of variables.

1. True
2. False

Q. If $x+a$ is a common factor of expressions $f\left(x\right)=x^2+px+q$ and $g\left(x\right)=x^2+mx+n$, then 'a' is equal to:

1. $\frac{n-q}{m-p}$
2. $\frac{n+q}{m+p}$
3. $\frac{n}{m}$
4. $\frac{m}{n}$