Respuesta :
Answer:
Yes, the binomial is a factor of the polynomial function.
Step-by-step explanation:
Consider the given polynomial.
Factor out the common term [tex]x^2[/tex] from the first two terms and [tex]-25[/tex] from the last two terms.
[tex]x^3 + 3x^2 -25x-75=x^2(x+3)-25(x+3)[/tex]
Factor out the polynomial.
[tex]x^2(x+3)-25(x+3)=(x+3)(x^2-25)[/tex]
Further, simplify.
[tex](x+3)(x^2-25)=(x+3)(x+5)(x-5)[/tex]
Therefore, [tex]x^3 + 3x^2 -25x-75=(x+3)(x+5)(x-5)[/tex]
A binomial factor is simply a factor with two terms, like (x - a).
Hence, the given polynomial function is binomial as it contains the factor with two terms, like (x - a).
Answer:
Yes No
Yes(x+3) No (x−1)
Yes – (x−5)
Yes – (x+5) No – (x−3)
Step-by-step explanation:
Hello future k12/brainly users
pls give FelisFelis upvotes and thanks because they gave the original answer and were downvoted despite being right mostly because whoever downvoted them (calling you out 5 downvoters) didn't take the time to read the explanation correctly.
