Question

10
215 2
5. Find the zeroes of the quadratic polynomial x2 + 7-10, and verify the relationship between the
zeroes and the coefficients.
T​

Answer 1

Answer:

Step-by-step explanation:

Let

p(x)=x  

2

+7x+10

comparing with p(x)=ax  

2

+bx+c

a=1,b=7,c=10

p(x)=x  

2

+7x+10

⇒x  

2

+5x+2x+10

⇒x(x+5)+2(x+5)

⇒(x+2)(x+5)

Let p(x)=0

⇒(x+2)(x+5)=0

x=−2,5

α=−2,β=−5

a

−b

​  

=α+β⇒  

1

−(7)

​  

=−7

a

c

​  

=α⋅β⇒  

1

10

​  

=10