No products in the cart.

Find the zero of the quadratic …

CBSE, JEE, NEET, CUET

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

Find the zero of the quadratic polynomials and verify the relationship between the zero and the coefficient :-

x² -2x -8

  • 1 answers

Naveen Sharma 6 years, 11 months ago

Ans. To find zeros, we ll equate it with 0

=> x- 2x - 8  = 0

=> x2 - 4x + 2x - 8 = 0 

=> x(x-4) + 2( x-4) = 0 

=> (x - 4) ( x + 2 ) = 0

=> x - 4 = 0  Or   x + 2 = 0 

=> x = 4, -2 

Zeros of the polynomial are 4 , -2

On comparing with ax2 +  bx + c, we get a = 1, b = -2 and c = -8

We know Sum of zeroes = {tex}-{b\over a}{/tex}

=> 4 + (-2) = {tex}- {-2\over 1}{/tex}

=> 2 = 2 

Again Product of zeroes = {tex}c\over a{/tex}

=> {tex}4 \times (-2) = {-8\over 1}{/tex}

=> -8 = -8 

Hence verified 

http://mycbseguide.com/examin8/

Related Questions

sin²60+1+cos²60/1+tan²45
  • 1 answers
Example 12 of ch- probability
  • 0 answers
4x^2-4x-3
  • 0 answers
t2 -15
  • 3 answers
1/2+1/4
  • 1 answers

myCBSEguide App

myCBSEguide

Trusted by 1 Crore+ Students

Test Generator

Test Generator

Create papers online. It's FREE.

CUET Mock Tests

CUET Mock Tests

75,000+ questions to practice only on myCBSEguide app

Download myCBSEguide App