Question

Find the quadratic polynomial whose zeroes are -2 and -5. Verify the relationship between the zeroes and coefficients of the polynomial.

Answer 1

Step-by-step explanation:

any polynomial of x is in the form of

ax²+bx+c

p(x) = (x+2)(x+5)

= x²+7x+10

we know sum of roots = (-b)/a

-2-5= -7

-b/a= -(7)/1......true

also, products if roots are c/a

-5*-2= 10

c/a=10