Linear Polynomial

Q.

Describe third degree polynomial

Q.

The polynomial $a{x}^2+bx+c$ is a linear polynomial if

1. b = 0

2. both a=0, b=0

3. a = 0

4. neither a=0 nor b=0

Q.

Find the value of each given polynomial at the given value of its variable :
(i) $5x^2–7x+2$ at x = 2
(ii) $x^2+15x–4$ at x = -3
(iii) $3y+8–2y^2$ at y = –3
(v) $x^2+3x+1$ at x = -1/3
(v) $x^3–3x^2+5x+2$ at x = – 1

Q. The linear polynomial is

1. the polynomial where the degree is $3$
2. None of the above
3. the polynomial where the degree is $2$
4. the polynomial where the degree is $1$

Q. Given that ‘$n$’ is a variable and ‘$a$’, ‘$b$’ , ‘$c$’ are constants, choose the correct option:
$\begin{array}{cccc}1.& an+b& A.& \text{Constant}\\ 2.& a{n}^2+bn+c& B.& \text{Quadratic expression}\\ 3.& a& C.& \text{Linear expression}\end{array}$

1. 1 - A, 2 - B, 3 - C
2. 1 - B, 2 - A, 3 - C
3. 1 - C, 2 - B, 3 - A
4. 1 - A, 2 - C, 3 - B

Q. For any AP, the expression for the $n^{th}$ term is always a ___ expression in $n$.

Q.

Define degree of a polynomial with its types

Q. Which of the following is a linear polynomial?

1. None of the above
2. $x^4+x^3+x^2+1$
3. $x+9$
4. $4x^2+5$

Q. Fill in the blacks.
A polynomial of degree $1$ is called a _____ polynomial

Q.

Give one example of a cubic polynomial.

Q. Which of the following is not a linear polynomial?

1. $p\left(x\right)=8y^{-1}+4$
2. $p\left(x\right)=8x+4$
3. $p\left(y\right)=8y+4$
4. $p\left(z\right)=8z+4$

Q.

If polynomial p($x$) is divided by ($x-a$) and the remainder is zero, then ($x-a$) is called __ of polynomial p($x$)

Q.

Define zero of a polynomial.

Q. A polynomial of degree $1$ is called _______

1. constant polynomial
2. cubic polynomial
3. quadratic polynomial
4. linear polynomial

Q. Classify the following as linear, quadratic and cubic polynomials
$3p$

Q. A polynomial of degree ________ is called a cubic polynomial.

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

Q.

Classify the following polynomial as linear, quadratic, cubic and biquadratic polynomial:

$5z$.

Q. Classify the following as a constant, linear, quadratic, and cubic polynomial:
$\sqrt{2}x-1$

1. Linear
2. Quadratic
3. Cubic
4. None of these

Q.

Identify the quadratic polynomials among the following.

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

2.$x^2+2x+3$

3.$\sqrt{3}{x}^2+5$

4.$y+\sqrt{2}$

1. 3 and 4

2. 2 and 3

3. 1 and 2

4. 1, 2 and 3

Q.

Write the leading term, degree and constant term of the polynomial $5x^3-bc{x}^3+1$.

Q.

Find the zero of the polynomial $\mathrm{p}\left(\mathrm{x}\right)=\mathrm{x}-5$

Q. Which of the following is a polynomial with only one zero?

1. $p\left(x\right)=2x^2-3x+4$
2. $p\left(x\right)=x^2-2x+1$
3. $p\left(x\right)=2x+3$
4. $p\left(x\right)=5$

Q. How many terms does a binomial polynomial has?

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

Q.

Solve, $4(2x-1)-2(x-5)=5(x+1)+3$

Q. Classify the following as linear, quadratic and cubic polynomials
$x-1$

Q. Which type of polynomial, the given expression $x-1$ is?

Q. Find the sum of $\frac{x-5}{x+3}$ and $\frac{-x+5}{x+3}$

1. $\frac{2x}{x+3}$
2. $\frac{2x}{x+3}$
3. $\frac{x}{x+3}$
4. 0

Q. $p\left(x\right)=\frac{2}{3}x-\frac{7}{10}$ is a __________.

1. linear polynomial
2. constant polynomial
3. quadratic polynomial
4. cubic polynomial

Q. Find $X$. If $16.7+12.38-X=10.09$.

1. $18.99$
2. $17.89$
3. $16.98$
4. $20.09$

Q.

Classify the following polynomials as linear, quadratic and cubic polynomials:

$3x^2+2x-1=0$