Question

Find the zeroes of the quadratic polynomials x2+x-12
verify the relationship between the zeros & its coefficients
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Answer 1

quadratic equations are those equations which having highest power of degree 2

Now, your solution mate.

by factories method

x2 + x - 12

x2 + 4x - 3x - 12

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

(x - 3) ( x + 4 )

first zero = x - 3

= x = 3

second zero = x + 4

= x = -4

Now, verify the relation

in a quadratic equation

a = 1 , b = 1 , c = -12

sum of zeroes,

alpha + beta = - b / a ( alpha and beta are the zeroes of polynomials)

3 - 4 = -1 / 1

- 1 = -1 ( LHS = RHS)

product of zeroes ,

alpha * beta = c / a

3 * -4 = -12/ 1

-12 = - 12 ( LHS = RHS)

Hope it's help ✌✌✌