Question

Find the quadratic polynomial where zeroes are -2 and -5.

correct answer = mark as brainlist ​

Answer 1

Answer:

x^2 +7x + 10=0

Step-by-step explanation:

Given: -2 and -5(alpha and beta)are zeros of polynomial.

To find quadratic equation,we need coefficients of quadratic equation.

General form of quadratic equation is ax^2 + bx+ c=0

Sum of zeros:-alpha + beta =-b/a = -2-5= -7 = -7/1

Product of zeros:-alpha × beta =c/a =-2×-5=10 = 10/1

a=1,b=-7,c=10

Hence,Quadratic equation is as follows:ax^2 + bx + c =0

=x^2 + 7x + 10=0