Coefficients of Terms of a Polynomial

Q.

A fourth degree polynomial is called

1. Binomial

2. A bi-quadratic polynomial

3. Cubic polynomial

4. Quadratic polynomial

Q.

Determine the degree of each of the following polynomials.

(i) $\frac{4x-5x^2+6x^3}{2x}$

(ii) $y^2(y-y^3)$

(iii) $(3x-2)(2x^3+3x^2)$

Q.

A polynomial of degree 2 is called a

1. Trinomial

2. Biquadratic polynomial

3. Binomial

4. Quadratic polynomial

Q.

Find the units digit of the expression 11^1 × 12^2 × 13^3 × 14^4 × 15^5 × 16^6 .

In some shortcut method please.

Q.

why should a variable have a exponent which is a whole number, to be called as polynomial? why can't the exponent be fraction like x^1/2 or negative number like x^-2?

Q.

A polynomial of degree 1 is called a __ polynomial.

Q.

Q.

Write the coefficient of $x^2$ in each of the following:

$3x-5$

Q.

Determine the degree of each of the following polynomials.

(i) $\frac{4x-5x^2+6x^3}{2x}$

(ii) $y^2(y-y^3)$

(iii) $(3x-2)(2x^3+3x^2)$

Q. if f(x) = ax² + bx + c represents a quadratic polynomial, then write the condition for a

Q.

'3x - 7' is the polynomial in ___ variable.

1. one

2. two

3. three

4. four

Q.

In a²x² + ax, if 'a' is constant and 'x' a variable, this expression would become a polynomial in __ variable(s).

___

Q.

Determine the degree of each of the following polynomials.

(i) $\frac{4x-5x^2+6x^3}{2x}$

(ii) $y^2(y-y^3)$

(iii) $(3x-2)(2x^3+3x^2)$

Q.

A quadratic polynomial __________

1. Is always a binomial

2. Is always a Monomial

3. May be a monomial, binomial or a trinomial

4. Is always a Trinomial

Q.

What is the coefficient of $x^5$ in the polynomial p(x)=$x^5+3x^4+2x^2+1$ ?

1. 1

2. 2

3. 3

4. 4

Q.

A binomial is a polynomial with __terms

Q. If a polynomial has more than 3 terms, which polynomial which polynomial we can call it as ?

Q.

If ax² + bx + c is a monomial in x, what can be said about a, b and c?

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

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

3. All three should be non - zero

4. Only one among a, b and c is zero.

Q. The exponent of 7 in 100!

Q.

How to justify whether a polynomial is one variable?

Q.

Factor Theorem is equivalent to Remainder Theorem when remainder is ____.

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

Q.

'1' is the coefficient of $x^0$ in the polynomial p(x)=$x^5+3x^4+2x^2+1$

1. True

2. False

Q.

One of the factors of $(25x^2-1)+(1+5x{)}^2$ is

1. 5 + x

2. 5x - 1

3. 10x

4. 5 - x

Q.

What is the remainder theorem?

Q.

The coefficient of $x^2$ in the polynomial $5x^3-4x^2+3x+10$ is

1. 5
2. -4

3. 3

4. 10

Q. We are defining terms as monomial binomial and trinomial for 1 term 2terms and 3terms. And if we have 4 terms what we will define a polynomial

Q.

What is the coefficient of $x^2$ in the polynomial p(x)=$x^5+3x^4+2x^2+1$ ?

1. 1

2. 2

3. 3

4. 5

Q. Explain this how this is a cubic polynomial?
(x+2)³=4-x³

Q.

Can I be an exponent for any variable

Q.

Can π be an exponent for any variable