Question

a quadratic polynomial whose zeros are 3and -4 are​

Answer 1

Answer:

Reffer to the picture for clear answer

Given that,

Zeroes of a quadratic polynomial are -3 and 4.

To find,

A quadratic equation.

Solution,

The general form of a quadratic equation is given by :

ax^2+bx+cax

2

+bx+c

or

x^2+(\text{sum of zeroes})x+\text{product of zeroes}x

2

+(sum of zeroes)x+product of zeroes

If \alphaα and \betaβ are the roots of a quadratic equation then,

x^2+(\alpha+\beta )x+\alpha\betax

2

+(α+β)x+αβ

Sum of zeroes, -3+4 = 1

Product of zeroes, (-3)(4) = -12

So, the quadratic polynomial is :

x^2-x-12x

2

−x−12

Hence, this is the required solution.