Question

The two zeroes of a quadratic polynomial are -4 and -6 . find the sum and product of the zeroes . what is the value of coeffient b ?​

Answer 1

Step-by-step explanation:

X²+7x+10=0

x²+2x+5x+10=0

x(x+2)+5(x+2)=0

(x+2)(x+5) = 0

x+2 = 0 ; x = -2

x+5 = 0 ; x = -5

Relationship between the zeroes and coefficients :-

Sum of zeroes = -2+(-5) = -2-5

= -7/1 = -x coefficient /x² coefficient

Product of zeroes = (-2)(-5)

= 10/1 = constant/x² coefficient

Answer 2

Euclid's division lemma states that given two positive integers a and b, there will exist the unique integers q and r satisfying a = (b x q) + r.