4usqare -8ufind the zeroes of the following quadratic polynomials and verify the relationship between between the zeroes and the coefficients
Share
4usqare -8ufind the zeroes of the following quadratic polynomials and verify the relationship between between the zeroes and the coefficients
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
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
Step-by-step explanation: