Question

write a quadratic polynomial whose sum and products of zeroes are -7 and 12 .



Plzz help me in this question...plzz ​

Answer 1

Given:

The sum and products of zeroes are -7 and 12.

To find:

The quadratic equation.

Solution:

If we have two roots A and B then the equation of the polynomial is given by:

• x²+(A+B)x+AB =0

here we have

• A+B = -7
• AB = 12

Putting these values in the equation we get:

•  x²+(A+B)x+AB =0
• x²-7x+12 = 0

The quadratic equation of the given roots is x² - 7x +12 = 0

Answer 2

GIVEN :

Write a quadratic polynomial whose sum and product of zeroes are -7 and 12.

TO FIND :

A quadratic polynomial whose sum and product of zeroes are -7 and 12.

SOLUTION :

Given that a quadratic polynomial, whose sum and product of the zeroes are -7 and 12.

Now we have to write a quadratic polynomial :

Given that the Sum of the zeroes=-7 and   Product of the zeroes=12

The formula for quadratic equation with the zeroes is given by :

$x^2-(sum of the zeroes)x+product of the zeroes=0$

Substituting the values in the formula $x^2-(sum of the zeroes)x+product of the zeroes=0$ we get,

$x^2-(-7)x+12=0$

$x^2+7x+12=0$

∴ the quadratic polynomial from the given whose sum and products of zeroes are -7 and 12 is $x^2+7x+12=0$