Question

find the zeros of the quandrtic polynomial x^2+x-12 verify the relation between zeros and the cofficant​

Answer 1

Given -

find the zeros of the quandrtic polynomial

x^2+x-12

x^2+x-12 verify the relation between zeros and the cofficant

Solution -

x² + x - 12

x ² + 4x - 3x - 12

x ( x + 4 ) - 3 ( x + 4 )

( x + 4 ). ( x - 3 )

x + 4 = 0. .. x - 3 = 0

x = 0 - 4 x = 0 + 3

x = -4. x = 3

_____________________

x = zeroes

Verification :

sum of zeroes =

$- \frac{ - coeffient \: of \: x}{coeffient \: of \: {x}^{2} }$

- 4 + 3 =.- 1 / 1

- 1 = - 1

______________________

Product of zeroes =

$\frac{constant \: term}{coe \: of \: {x}^{2} }$

- 4 x 3 = -12 / 1

- 12 . =. - 12

_______________________

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