Question:
Consider the quadratic function.
f(p) = p2 – 8p – 5
What are the values of the coefficients and the constant in the function?
a = –1, b = –8, c = –5
a = 1, b = –5, c = –8
a = 1, b = –8, c = –5
a = –1, b = –5, c = 8
Answer:
a = 1, b = –8, c = –5
Explanation:
A polynomial is in standard form when its term of highest degree is first, its term of 2nd highest is 2nd etc..
The general form of any polynomial function will be
![f(x) = ax^n +bx +c](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mrj751sz2i6q8egch9e843j8aw51n0y3dk.png)
where
a,b are -coefficients and they are constant
n is the degree of the polynomial
So in the given function
![f(p) = p^2-8p -5](https://img.qammunity.org/2021/formulas/mathematics/middle-school/qdaimzwgz5jrkyxfuiimje5ofi02c9qt7d.png)
The coefficient of
is 1
The coefficient of p is -8
The constant term is -5