find the zeros of the polinomial 4m²+8m8m
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Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients.
4u
2
+8u
Hard
Solution
verified
Verified by Toppr
Let f(u)=4u
2
+8u
To calculate the zeros of the given equation, put f(u)=0.
4u
2
+8u=0
4u(u+2)=0
u=0,u=−2
The zeros of the given equation is 0 and −2.
Sum of the zeros is 0+(−2)=−2.
Product of the zeros is 0×−2=0.
According to the given equation,
The sum of the zeros is,
a
−b
=
4
−(8)
=−2
The product of the zeros is,
a
c
=
4
0
=0
Hence, it is verified that,
sumofzeros=
coefficientofx
2
−coefficientofx
And,
productofzeros=
coefficientofx
2
constantterm
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