Concept (1)

A polynomial function is a function comprised of more than one power function where the coefficients are assumed to not equal zero. The term with the highest degree of the variable in polynomial functions is called the leading term. All subsequent terms in a polynomial function have exponents that decrease in value by one.

Sample Problems (11)

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Given f(x) = x² − 7x + 2 and g(x) = 8x − 4

Find (f + g)(x)
Find (g − f)(4)
Problem 1
How to add and subtract polynomials.
Problem 2
Writing a polynomial from a binomial radical zero and its conjugate.
Problem 3
Find the polynomial with given radical zeros and use one given point to find the value of the leading coefficient.
Problem 4
Find the polynomial with given real zeros and use one given point to find the value of the leading coefficient.
Problem 5
Writing a polynomial from a monomial radical zero and its conjugate.
Problem 6
Find the polynomial with given imaginary monomial zeros and use one given point to find the value of the leading coefficient.
Problem 7
Find the polynomial with given imaginary monomial zeros and use one given point to find the value of the leading coefficient.
Problem 8
Find the polynomial with given imaginary binomial zeros and use one given point to find the value of the leading coefficient.
Problem 9
Write a polynomial with given real zeros, considering even or odd multiplicity, assuming the "a" value is one.
Problem 10
Find the polynomial with one given imaginary binomial zero, and its conjugate as a zero as well.
Problem 11
Write a polynomial with given real zeros, assuming the "a" value is one and all zeros are multiplicity one.