Polynomials Worksheet — Class 10 CBSE Maths

Q1.If 'k' is a zero of the polynomial P(x) = ax² + bx + c, which of the following statements must be true?

Difficulty: Easy

Q2.Which of the following expressions represents a quadratic polynomial?

Difficulty: Easy

Q3.A graph of a polynomial y = P(x) is shown. If this graph intersects the x-axis at exactly three distinct points, say at x = -2, x = 1, and x = 3, what can be concluded about the number of zeros of P(x)?

Difficulty: Easy

Q4.Ravi was finding the sum of zeros for the quadratic polynomial x² - 7x + 10. He stated that the sum of zeros is 7. Is his calculation correct? If not, what is the correct sum?

Difficulty: Easy

Q5.If the sum of the zeros of a quadratic polynomial is -5 and the product of its zeros is 6, which of the following could be the polynomial?

Difficulty: Easy

Q6.According to the Division Algorithm for polynomials, if P(x) is divided by G(x) (where G(x) ≠ 0), resulting in quotient Q(x) and remainder R(x), which of the following statements about the degree of the remainder R(x) is always true?

Difficulty: Easy

Q7.Which of the following quadratic polynomials has zeros 2 and -3?

Difficulty: Easy

Q8.If α and β are the zeros of the quadratic polynomial P(x) = ax² + bx + c, then what is the value of 1/α + 1/β?

Difficulty: Easy