What are the polynomial names for these functions.
1.) m(x)=x+x^2-1
2.) d(x)=x+ 3.14
3.) 2-6x^2+11x^3
quadratic --- x^2 term makes it that
linear ----- x term makes it that
cubic ------ from the x^3 term
the highest exponent term establishes what kind it is
Thank you.
To determine the polynomial names for the given functions, we need to identify the highest power of x and classify them accordingly.
1.) m(x) = x + x^2 - 1
The highest power of x in this function is x^2, making it a quadratic polynomial.
2.) d(x) = x + 3.14
Since there is no exponent on x, we can consider it as x^1. Therefore, the highest power of x in this function is x^1, making it a linear polynomial.
3.) 2 - 6x^2 + 11x^3
The highest power of x in this function is x^3, making it a cubic polynomial.
So, the polynomial names for the given functions are:
1.) m(x) is a quadratic polynomial.
2.) d(x) is a linear polynomial.
3.) 2 - 6x^2 + 11x^3 is a cubic polynomial.
To determine the polynomial names for the given functions, we can follow the standard polynomial naming convention. Polynomial terms are named based on the highest power of the variable in the expression.
1.) m(x) = x + x^2 - 1
The highest power of x in this function is 2. Therefore, the polynomial name for m(x) is a quadratic polynomial.
2.) d(x) = x + 3.14
In this case, the highest power of x is 1. Thus, d(x) is called a linear polynomial.
3.) 2 - 6x^2 + 11x^3
The highest power of x in this function is 3. Therefore, the polynomial name for this function is a cubic polynomial.