Find the value of g(7) for the function below. g(x) = 3x − 3
2 answers:
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Louise wants to factorize completely the given polynomial
Grouping first, second terms together and third, fourth terms together
=
Taking common from first and second terms of the given expression and taking 5 common from the third and fourth terms.
=
Taking (x+3) common from the given expression,
= is the completely factored form.
Answer:
There are two rational roots for f(x)
Step-by-step explanation:
We are given a function
To find the number of rational roots for f(x).
Let us use remainder theorem that when
f(a) =0, (x-a) is a factor of f(x) or x=a is one solution.
Substitute 1 for x
f(1) = 1-2-5+6=0
Hence x=1 is one solution.
Let us try x=-1
f(-1) = 1-2-5+6 =0
So x =-1 is also a solution and x+1 is a factor
We can write f(x) by trial and error as
We find that factor gives two irrational solutions as
±√3.
Hence number of rational roots are 2.