Question

Which second-degree polynomial function has a leading coefficient of negative 1 and root 5 with multiplicity 2?
A. f(x)=-x^2+10x+25
B. f(x)=-x^2+10x-25
C. f(x)=-x^2-10x+25
D. f(x)=-x^2-10x-25

Answer 1

Look at option B :
\[\large f(x) = -x^2 + 10x - 25 = -(x^2-10x+25) = -(x-5)^2\]

Answer 2

Thanks

Answer 3

Since the exponent on factor \(x-5\) is \(2\), the multiplicity of root \(5\) is \(2\)