Question

how to find zero of a quadratic polynomial...,???☺☺☺☺
{CONTENT QUALITY REQUIRED}
I m giving u more points..........
so plzzz give correct answer................

Answer 1

The roots of a function are the x-intercepts. By definition, the y-coordinate of points lying on the x-axis is zero. Therefore, to find the roots of a quadratic function, we set f (x) = 0, and solve the equation, ax2 + bx + c = 0.

Answer 2

We can find zero of a quadratic polynomial by factoring or splitting the middle term.

Ex:

x^2 - 7x + 12

x^2 - 3x - 4x + 12

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

(x - 3)(x - 4)

x = 3,4.

Therefore zeroes of the polynomial are 3,4.


Verification:

Now,

Sum of the zeroes = 3 + 4

                                = 7.

                                = -(-7)/1

                                = -7.


Therefore the sum of zeroes a + b = -(coefficient of x)/Coefficent of x^2)

 

Now,

Product of zeroes = 3 * 4

                              = 12

                             = 12/1

                             = 12.


Therefore the product of zeroes ab = Constant term/Coefficient of x^2.


Hence proved.


Hope this helps!