# Types of Polynomials

## Trending Questions

**Q.**

Question 2

Write whether the following statements are true or false. Justify your answer.

i. A Binomial can have atmost two terms.

ii. Every polynomial is a Binomial.

iii. A binomial may have degree 5.

iv. Zero of a polynomial is always 0.

v. A polynomial cannot have more than one zero.

vi. The degree of the sum of two polynomials each of degree 5 is always 5.

**Q.**

Identify constant, linear, quadratic, cubic and quartic polynomials from the following.

(i) −7+x

(ii) 6y

(iii) −z3

(iv) 1−y−y3

(v) x−x3+x4

(vi) 1+x+x2

(viii) −6x2

(viii) −13

(ix) −p

**Q.**

An expression that contains only one term is called a

**Q.**Every real number is a zero of the __________ polynomial.

- Zero
- Linear
- Cubic
- Quadratic

**Q.**

Which among the following is a binomial?

- x2−x+1
- 2x2
- x3+1
- x4+x2−2

**Q.**

Which of the following expressions is a polynomial in one variable?

(a) x+2x+3

(b) 3√x+2√x+5

(c) √2x2−√3x+6

(d) x10+y5+8

**Q.**

Which of the following is a quadratic polynomial ?

(a) x+4

(b) x3+x

(c) x3+2x+6

(d) x2+5x+4

**Q.**

A polynomial with only two terms is known as a

Binomial

- Quadratic polynomial
- Cubic polynomial
- Trinomial

**Q.**Which of the following is a constant polynomial?

- 4x3+2x2+3
- x3+8
- x0+1
- x2−4

**Q.**A polynomial with 2 terms is known as a

- binomial
- quadratic polynomial
- trinomial
- cubic polynomial

**Q.**

The equation of X-Axis is

x = 0

y = 0

x = y = 0

xy = 0

**Q.**

Classify the following as linear, quadratic and cubic polynomials: ${x}^{2}+x$.

**Q.**

Which of the following is a binomial ?

(a) x2+x+3

(b) x2+4

(c) 2x2

(d) x+3+1x

**Q.**

Which of the following is a linear polynomial ?

(a) x+x2

(b) x+1

(c) 5x2−x+3

(d) x+1x

**Q.**

Which of the following graphs may correspond to the equation y = k where k is a negative rational number.

**Q.**

Classify the following as linear, quadratic and cubic polynomials: $x-{x}^{3}$.

**Q.**

State true or false every polynomial is a binomial

**Q.**What can be the maximum number of distinct terms in a polynomial with a single variable of degree 1?

- 1
- 2
- 3
- 4

**Q.**

Identify the numerical coefficients of terms (other than constants) in the following expressions: $0.1y+0.01{y}^{2}$

**Q.**

If a(x)2+bx+c is a monomial in x , what can be said about a, b and c?

Atleast one of a, b and c is non - zero.

Only one among a, b and c is zero.

Only one among a, b and c is non - zero.

All three should be non - zero

**Q.**

Polynomials having only three terms are called ________

trinomials

binomial

monomial

multinomial

**Q.**x10+y3+t50 is a polynomial in:

[1 mark]

[NCERT]

[Types of Polynomials]

- None of the above
- Three Variables
- One Variable
- Two Variables

**Q.**Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer:

(i) 3x

^{2}− 4x + 15

(ii) y

^{2}+ 2$\sqrt{3}$

(iii) $3\sqrt{x}+\sqrt{2}x$

(iv) $x-\frac{4}{x}$

(v) x

^{12}+ y

^{3}+ t

^{50}

**Q.**

Which of the following expressions are polynomials in one variable and which are not?

State reasons for your answer. (i) ${y}^{2}+\sqrt{2}$ (ii) $3\sqrt{t}+t\sqrt{2}$ and (iii) ${x}^{10}+{y}^{3}+{t}^{50}$.

**Q.**Which of the following is a binomial?

- x2−2x−1
- x+1
- x3+x+1
- x2

**Q.**

If a(x)2+bx+c is a monomial in x , what can be said about a, b and c?

Atleast one of a, b and c is non - zero.

All three should be non - zero

Only one among a, b and c is zero.

Only one among a, b and c is non - zero.

**Q.**Give one example each of a binomial of degree 35 and of a monomial of degree 100.

**Q.**The degree of the algebraic expression \lbrack(x2 – 3x)2 ÷ 3x2\rbrack is = ?

**Q.**

The factor theorem states that if there is a polynomial of degree greater than or equal to one and ‘a’ be a real number. If P(a) = 0 then x – a is the factor of the polynomial P(x). Is this true or false?

True

False

**Q.**

1.The graph of a Linear equation is always - answer

2.the equation of the x axis is answer

3.the equation of the y axis is answer