Let f(x) = 36x5 − 44x4 − 28x3 and g(x) = 4x2. Find f of x over g of x. 9x2 − 11x − 7 9x2 11x 7 9x3 − 11x2 − 7x 9x3 11x2 7x.
1 answer:
The value f of x over g of x is 9x³ − 11x² − 7x. Then the correct option is C.
<h3>What is a function?</h3>The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The two functions are given as
f(x) = 36x⁵ − 44x⁴ − 28x³ and g(x) = 4x²
We have to find the division of f(x) by g(x).
We can separate 4x² to each term of f(x). Then we have
Thus, the value f of x over g of x is 9x³ − 11x² − 7x. Then the correct option is C.
More about the function link is given below.
You might be interested in
Given:
The leading coefficient of a polynomial is 8.
Polynomial roots are 1 and 2.
The graph passes through the point (4,5).
To find:
The 3rd root and the equation of the polynomial.
Solution:
The factor form of a polynomial is:
Where, a is a constant and are the roots of the polynomial.
Polynomial roots are 1 and 2. So, and
are the factors of the polynomial.
Let the third root of the polynomial by c, then is a factor of the polynomial.
The leading coefficient of a polynomial is 8. So, a=8 and the equation of the polynomial is:
The graph passes through the point (4,5). Putting , we get
Divide both sides by 48.
Therefore, the 3rd root on the polynomial is .