Question

Math question

Answer 1

@AlexandervonHumboldt2 Is it A or D?

Answer 2

Testing (-1) on A and B

Answer 3

Polynomial function with roots \(\large\color{blue}{ \displaystyle \rm a}\), \(\large\color{green}{ \displaystyle \rm b}\), and \(\large\color{red}{ \displaystyle \rm c}\) would be given as:

\(\large\color{black}{ \displaystyle f(x)=(x-\color{blue}{\rm a})(x-\color{green }{\rm b})(x-\color{red}{\rm c})}\)

Answer 4

And in your case, polynomial with roots \(\large\color{blue}{ \displaystyle \rm -1}\), \(\large\color{green}{ \displaystyle \rm -5}\), and \(\large\color{red}{ \displaystyle \rm -3}\) would be given as:

\(\large\color{black}{ \displaystyle f(x)=(x-\color{blue}{\rm -1})(x-\color{green }{\rm -5})(x-\color{red}{\rm -3})}\)

Answer 5

then, all you need is to expand

Answer 6

Alternatively, you can plug in these roots into each of the answer-choices, till you find the option that satisfies the roots of your equation.

Answer 7

Ok so it's C. Thank you!

Answer 8

I really don't think the answer is option C.

Answer 9

You just need to expand it:

\(\large\color{black}{ \displaystyle f(x)=(x+1)(x+3)(x+5)}\)

Answer 10

So f(x)=x^3+9x^2+23x+15 right?

Answer 11

Yes, that is correct.

Answer 12

Oh so it IS A! lol thank you!