For Class 8, 9 & 10
Foundation - a strong base in Physics, Chemistry, Maths & Biology
Concept-first questions with clear model answers across all four subjects, aligned to NCERT. Start early, build the habit, and walk into your board exams, NEET and JEE already ahead.
Showing 1 question in Mathematics for Class 10. Tap a card to reveal the answer.
MathematicsPolynomialseasyFind the zeroes of the polynomial x^2 - 7x + 10 and verify the relationship between the zeroes and the coefficients.
Reveal answer ↓
What it is
The zeroes of a quadratic are where it equals zero; their sum is -b/a and product is c/a.
Answer
Factorise: x^2 - 7x + 10 = (x - 2)(x - 5), so the zeroes are 2 and 5. Sum of zeroes = 2 + 5 = 7 = -(-7)/1 = -b/a. Product of zeroes = 2 x 5 = 10 = 10/1 = c/a. Both relations hold.
Sum = -b/a ; Product = c/a
- •(x - 2)(x - 5) -> zeroes 2, 5
- •Sum = 7 = -b/a
- •Product = 10 = c/a
Why learn this
Finding roots is how we solve projectile paths, profit models and design problems in engineering.
💡 Memory trick
Sum = -b/a (has the minus), Product = c/a (plain).