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Class 10 Polynomials worksheet
CBSE Mathematics. Zeroes, and how they relate to the coefficients; quadratics from their zeroes. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.
Sample questions
Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.
Section A · multiple choice
- 1.
The sum of the zeroes of the polynomial x² − 8x + 7 is:
- 7
- −8
- 9
- 8
Answer
(d) 8
sum of zeroes = −b/a = 8
- 2.
The product of the zeroes of the polynomial 4x² − 56x + 180 is:
- 180
- 14
- 45
- −45
Answer
(c) 45
product of zeroes = c/a = 45
- 3.
The zeroes of the polynomial x² + 4x − 45 are:
- −9 and 5
- −5 and 9
- 5 and 9
- −9 and −5
Answer
(a) −9 and 5
x² + 4x − 45 = (x + 9)(x − 5)
Section B · short answer
- 4.
Find the zeroes of 6y² − 25y + 25 and verify the relationship between the zeroes and the coefficients.
Answer
5/3 and 5/2
6y² − 25y + 25 = (2y − 5)(3y − 5); sum = 25/6 = −b/a, product = 25/6 = c/a
- 5.
Find a quadratic polynomial whose zeroes have sum 3/5 and product 1/5.
Answer
5x² − 3x + 1 (or any non-zero multiple of it)
k[x² − (3/5)x + (1/5)]; take k = 5 to clear the fractions
Section C · long answer
- 6.
A toy rocket is launched straight up from the ground. Its height after t seconds is h(t) = −5t² + 60t metres. Find the zeroes of h(t) and say what they mean.
Answer
t = 0 and t = 12: it leaves the ground at t = 0 and lands back after 12 seconds
−5t(t − 12) = 0
Fresh sheets for your child
In the app, every Polynomials sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.
Coming soon for Android and iPhone.