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Find the zero of the quadratic …

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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 

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