Find the zeros of the polynomial f(u)=4u^2+8u, and verify the relationship between the zeros and its coefficients.

Harlen Pritchard

Harlen Pritchard

Answered question

2021-09-16

Find the zeros of the polynomial f(u)=4u2+8u, and verify the relationship between the zeros and its coefficients.

Answer & Explanation

SoosteethicU

SoosteethicU

Skilled2021-09-17Added 102 answers

For finding the polynomials zero we put f(n)=0 and solve so the zeros of the polynomials are 0,-2
Polynomial
f(u)=4u2+8u
factorise the equation we get
4u2+8u=0
4u(4+2)=0
u=0,u=2
Therefore, the rejob of the polynomial 4u2+8u are 0 and -2 by using zeros.
Bum of zeros=0-2=-2=
be coefficient
a+b=ba=coefficient of  x1coefficient of  x2=84=2
Product of zeros
ab=0×(2)=0
by coefficient
ab=cd=constant termcoeff of  x2=04=0
Thus relationship is veribied.

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