Class 9 Exam  >  Class 9 Notes  >  Mathematics (Maths) Class 9  >  Worksheet Solutions: 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
Ans:
(c)
x/y + y/x = -1
x2 + y2 = − xy
or
x2 + y2 + xy = 0
Now x3 – y3 = (x − y) (x2 + y2 + xy) = (x − y) × 0 = 0
Hence (c) is the correct answer

Q2: If p + q + r = 0 ,then the value of Polynomials Class 9 Worksheet Maths Chapter 2
(a) 1
(b) 3
(c) -1
(d) 0
Ans:
(b)
Now we know that p3 + q3 + r3 − 3pqr = (p + q + r) (p2 + q2 + r2 − pq − qr − pr)
as p + q + r = 0
p3 + q3 + r3 − 3pqr = 0 or p3 + q3 + r3 = 3pqr
Now
Polynomials Class 9 Worksheet Maths Chapter 2
Hence (b) is the correct answer.

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

Ans: (a)

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

Ans: (d)

Q5: The value of f(x) = 5x−4x2+3 when x = -1, is:
(a) 3 
(b) -12 
(c) -6

(d) 6
Ans: (a)

True or False

Q1: P(x) = x - 1 and g(x) =x- 2x  + 1 . p(x) is a factor of g(x)
Ans: True, as g(1) = 0

Q2: The factor of 3x2 – x - 4 are (x + 1)(3x - 4)
Ans: True, we can get this by split method

Q3: Every linear polynomial has only one zero
Ans: True

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

Q5: A binomial may have degree 4
Ans: True, example x4 + 1

Q6: 0, 2 are the zeroes of x2- 2x
Ans: True

Q7: The degree of zero polynomial is not defined
Ans: True

Answer the following Questions

Q1: Is 3x1/2 - 4x + 15 a polynomial of one variable?
Ans:
No. it is not a polynomial

Q2: Is ∛x - √2x a polynomial
Ans: No. It is not a polynomial

Q3: What will be the degree of polynomials 30x5 - 15x2 + 40
Ans: Degree of Polynomial is 5

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

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

Q6: Show that x = 1 is a root of the polynomial 3x3 - 4x2 + 8x - 7
Ans: On putting x = 1
X = 1 is root of polynomial
3x3 - 4x2 + 8x - 7
3(1)3  - 4(1)2 + 8(1) - 7
3 - 4 + 8 - 7 = 0
X = 1 is root of polynomial

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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FAQs on Polynomials Class 9 Worksheet Maths Chapter 2

1. How do you add and subtract polynomials?
Ans. To add or subtract polynomials, you simply combine like terms. Add or subtract the coefficients of the same variables raised to the same powers.
2. Can you multiply polynomials?
Ans. Yes, you can multiply polynomials using the distributive property. Multiply each term in one polynomial by each term in the other polynomial, then combine like terms.
3. What is a monomial?
Ans. A monomial is a polynomial with only one term. It can be a single number, a variable, or a number multiplied by one or more variables.
4. How do you divide polynomials?
Ans. To divide polynomials, you can use long division or synthetic division. Divide the highest degree term of the dividend by the highest degree term of the divisor, then multiply and subtract to continue dividing.
5. What is the degree of a polynomial?
Ans. The degree of a polynomial is the highest exponent of the variable in the polynomial. It helps determine the behavior and characteristics of the polynomial.
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