Question

TWO
1.
Find the zeroes of the quadratic polynomial x2 + 7x + 10, and verify the
relationship between the zeroes and the coefficients.
​

Answer 1

Step-by-step explanation:

P(x)=x2+7x+10

=x2+5x+2x+10

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

= (x+5) (x+2)

α=−2 β=−5

α+β=−2−5=−7

α⋅β=(−2)⋅(−5)=10

= ax2+bx+c

α+β=−ba=−71=−7

α⋅β=ca=10.1=10

hence verified