Question

Find a quadratic polynomial,the sum and product of whose zeroes are -3 and 2​

Answer 1

Answer:

x^2+3x+2 is the polynomial

Step-by-step explanation:

-b/a=-3/1 and c/a=2/1

thus a=1,b=3,c=2

hence ax^2+bx+c is x^2+3x+2

Answer 2

Let α and β be the roots of quadratic polynomial.

Given:

α + β = - 3 and αβ = 2

We have to find a quadratic polynomial.

Solution:

If α and β be the roots of quadratic polynomial.

Then, the quadratic polynomial is

$x^{2} -(\alpha +\beta)x+ \alpha \beta$

= $x^{2}$ - (- 3)x + 2

= $x^{2}$ + 3x + 2

∴ A quadratic polynomial = $x^{2}$ + 3x + 2

Thus, the quadratic polynomial is $x^{2}$ + 3x + 2.