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 + 8y² + 8z² + 8xyz
(c) 2x² +8y² + 8z² - 8yz
(d) 2x² + 8y² + 8z² + 16yz

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

True or False

Q1: P(x) = x - 1 and g(x) =x² - 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

Answer the following Questions

Q1: Is 3x^1/2 - 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 x³ in 9x³ - 5x + 20.

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

You can access the solutions to this worksheet here.