Worksheet: Polynomials

# Polynomials Class 9 Worksheet Maths Chapter 2

### Multiple Choice Questions

Q1: If x/y + y/x = -1 and (xy, ≠ 0), the value of x3 – y3 is
(a)
1
(b)
-1
(c)
0
(d)
2

Q2: If p + q + r = 0 ,then the value of
(a)
1
(b)
3
(c)
-1
(d)
0

Q3: The product of (x + a) (x + b) is
(a)
x2 + (a + b)x + ab
(b) x2 - (a - b)x + ab
(c) x2 + (a - b)x + ab
(d) x2 + (a - b)x + ab

Q4: The value of (x + 2y + 2z)2 + (x - 2y - 2z)2 is
(a)
2x2 + 8y2 + 8z2
(b) 2x2 + 8y+ 8z2 + 8xyz
(c) 2x2 +8y2 + 8z2 - 8yz
(d) 2x2 + 8y2 + 8z2 + 16yz

Q5: Find the value of (a3 b3 c3 - 3abc)/(ab + bc + c - a2 - b2 - c), when a = -5, b = -6 c = -10.
(a)
1
(b) -1
(c) 2
(d) -2

### True or False

Q1: P(x) = x - 1 and g(x) =x- 2x  + 1 . p(x) is a factor of g(x)

Q2: The factor of 3x2 – x - 4 are (x + 1)(3x - 4)

Q3: Every linear polynomial has only one zero

Q4: Every real number is the zero’s of zero polynomial

Q5: A binomial may have degree 4

Q6: 0, 2 are the zeroes of x2- 2x

Q7: The degree of zero polynomial is not defined

Q1: Is 3x1/2 - 4x + 15 a polynomial of one variable?

Q2: Is ∛x - √2x a polynomial.

Q3: What will be the degree of polynomials 30x5 - 15x2 + 40.

Q4: Is (y2)1/2 + 2√3 a polynomial of one variable?

Q5: What will be the coefficient of xin 9x3 - 5x + 20.

Q6: Show that x = 1 is a root of the polynomial 3x3 - 4x2 + 8x - 7.

The document Polynomials Class 9 Worksheet Maths Chapter 2 is a part of the Class 9 Course Mathematics (Maths) Class 9.
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## Mathematics (Maths) Class 9

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## FAQs on Polynomials Class 9 Worksheet Maths Chapter 2

 1. What is a polynomial?
Ans. A polynomial is a mathematical expression that consists of variables, coefficients, and exponentiation operators. It is composed of one or more terms, each of which can be a constant, a variable, or a product of variables raised to non-negative integer exponents.
 2. How do you determine the degree of a polynomial?
Ans. The degree of a polynomial is determined by the highest exponent of the variable in the polynomial expression. For example, if the highest exponent is 3, then the polynomial is of degree 3. The degree helps in understanding the behavior and characteristics of the polynomial.
 3. What are the different types of polynomials?
Ans. There are several types of polynomials based on the number of terms they contain. Some common types include: - Monomial: A polynomial with only one term. - Binomial: A polynomial with two terms. - Trinomial: A polynomial with three terms. - Quadratic polynomial: A polynomial of degree 2. - Cubic polynomial: A polynomial of degree 3.
 4. How do you add or subtract polynomials?
Ans. To add or subtract polynomials, you combine like terms. Like terms are terms that have the same variables raised to the same exponents. Simply add or subtract the coefficients of the like terms while keeping the variables and exponents unchanged.
 5. How do you multiply polynomials?
Ans. To multiply polynomials, you can use the distributive property or the FOIL method. The distributive property involves multiplying each term of one polynomial by each term of the other polynomial and then combining like terms. The FOIL method is specifically used for multiplying two binomials and stands for First, Outer, Inner, Last, which helps in remembering the order of multiplication.

## Mathematics (Maths) Class 9

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