Given:
The polynomial function is
To find:
The possible roots of the given polynomial using rational root theorem.
Solution:
According to the rational root theorem, all the rational roots and in the form of 
, where, p is a factor of constant and q is the factor of leading coefficient.
We have,
Here, the constant term is 10 and the leading coefficient is 4.
Factors of constant term 10 are ±1, ±2, ±5, ±10.
Factors of leading term 4 are ±1, ±2, ±4.
Using rational root theorem, the possible rational roots are
Therefore, the correct options are A, C, D, F.
Answer:
A
Step-by-step explanation:
We take a look at this expression: 
and notice that both terms are square numbers. 
and 
.
There is a specific formula that I highly recommend you memorize involving differences of squares. It states that given the difference of squares 
, it can always be factored into 
.
Here, we can apply that. In this case, a = 7x and b = 3. So:
Thus, the answer is A.
Hope this helps!
This is what the following graph would look like:
Answer:
Step-by-step explanation:
The one that doesn't work with the other three is B. Nine cubed is huge compared to just plain 9 or 3^2. The other three each are equal to one another especially if you remove the brackets in D.
9 c^(2*3) * d^(3*3)
9 c^6 d^9
