Is \(\displaystyle{f{{\left({x}\right)}}}={x}^{{{2}}}-{13}\sqrt{{{x}}}+{30}{a}\) quadratic?

zdebe5l8

zdebe5l8

Answered question

2022-04-15

Is f(x)=x213x+30a quadratic?

Answer & Explanation

shanna87mn

shanna87mn

Beginner2022-04-16Added 19 answers

Quadratics are polynomials of 2-nd degree.
Polynomials cannot contain terms with fractional powers, such as x12=x.
Therefore x213x+30 is not a polynomial, and consequently not a quadratic.
Varikoseocaz

Varikoseocaz

Beginner2022-04-17Added 9 answers

In general, the term "quadratic" function is reserved for functions that look like f(x)=ax2+bx+c where a0 and a,b,c are constants. Sometimes we have things that don't look a quadratic at first but can be re-cast as a quadratic in another variable. For instance,
x4+2x2+7
can be re-written as a quadratic where the variable is x2:
(x2)2+2(x2)+7
So in general, a quadratic is something that the variable shows up at most twice in, and if it shows up twice, one time it is the square of the second. So for yours, no it is not.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?