CBSE 10th Maths Sample Paper 2019 | Q14

This 2019 CBSE class 10 Maths 3 mark question is from Polynomials. Concept: finding zeroes of a quadratic polynomial by factorizing the quadratic expression. The fact that the coefficients and constants are radicals (irrational numbers) makes this question a 3-mark question.

Question 14: Find the zeroes of the following polynomial: 5√5x² + 30x + 8√5

Video Explanation

Explanatory Answer | CBSE Sample Paper 2019 Question 14

Factorize 5√5x² + 30x + 8√5 by splitting the middle term.
5√5x² + 30x + 8√5
5√5x² + 20x + 10x + 8√5
5x (√5x + 4) + 2√5 (√5x + 4) = 0
(√5x + 4) (5x + 2√5) = 0

Zeroes are -\\frac{4}{√5}) and -\\frac{2√5}{5}) or -\\frac{4√5}{5}) and -\\frac{2√5}{5})