find the zeroes of polynomial x2+7x+10 and check the volidity of relation between zeroes and coefficients
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ANSWER
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
Step-by-step explanation:
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