Question

Find the quadratic polynomial whoes zeroes are -2 and -5.verify the relationship between zeroes and coefficients of the polynomial

Answer 1

Answer:

Step-by-step explanation:

alpha = -2

beta = -5

alpha +beta =-2-5=-7

alpha * beta  = -2*-5=10

general form = x² - (alpha + beta )x +( alpha * beta )

 = x² - (-7)x+ 10

= x²+7x+10

we have alpha + beta = -7

and alpha * beta =  10(we calculated earlier with the zeroes)

alpha + beta = -b / a = - 7 / 1 = -7

alpha *beta = c / a = 10/ 1 = 10

hence proved....