Question

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

Answer 1

Answer:

1. the required polynomial is X square -3x-2

Step-by-step explanation:

by applying k(X square+SX+p)

where k is constant and s is sum and p is product so we let denominator of polynomial k and then cut them so we get answer

plz mark it as BRAINLIEST

Answer 2

Answer: The required polynomial p(x)= x² + 3x -2

Step-by-step explanation:

Let p(x)= ax²+ bx+ c be the polynomial in x.

Let α and β be its zeroes.

α+β= -3

-b/a= -3

b/a= 3/1 -- (1)

αβ= -2

c/a= -2/1 -- (2)

From eq. 1 and 2,

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

p(x)= ax²+ bx+ c

     = x² + 3x + (-2)

∴p(x)  = x² + 3x -2 is the required polynomial.