Question

If the sum and product of the zeroes of a polynomial are -3 and 2 respectively then the polynomial is

Answer 1

Step-by-step explanation:

Let the quadratic polynomial be ax²+bx+c,and it's zeros be α and β.

α + β = –3= –b/a

αβ = 2 = c/a

If a=1, then b = 3 and c = 2

So one equation which fits the given condition is x²+3x+2.

Hope it helps you.

Answer 2

SOLUTION

TO DETERMINE

If the sum and product of the zeroes of a polynomial are - 3 and 2 respectively then the polynomial is

CONCEPT TO BE IMPLEMENTED

If the Sum of zeroes and Product of the zeroes of a quadratic polynomial is given then the quadratic polynomial is

$\sf{ {x}^{2} -(Sum \: of \: the \: zeroes )x + Product \: of \: the \: zeroes }$

EVALUATION

Here it is given that the sum and product of the zeroes of a polynomial are - 3 and 2 respectively

Then the required polynomial

$\sf{ = {x}^{2} -(Sum \: of \: the \: zeroes )x + Product \: of \: the \: zeroes }$

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

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

FINAL ANSWER

If the sum and product of the zeroes of a polynomial are -3 and 2 respectively then the polynomial is x² + 3x + 2

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ If p(x) = 2x2 + 4x + 6 is a quadratic polynomial then what is the value of sum of zeroes?

https://brainly.in/question/31024345

2. write a quadratic polynomial sum of whose zeroes is 2 and product is -8

https://brainly.in/question/25501039