(15x^5 – 4x^3 – 3x^2 + 11) – (2x^5 + 3x^3 – 9x – 8)
b. (15x^5 – 4x^3 – 3x^2 + 11) -1 (2x^5 + 3x^3 – 9x – 8)
(15x^5 – 4x^3 + 3x^2 + 11) -1 (2x^5) -1 (3x^3) -1 (-
9x) -1 (-8)
d. 15x^5 – 4x^3 – 3x^2 + 11 -2x^5 – 3x^3 + 9x + 8
There are special names for polynomials depending on the
highest power and the number of terms. For example, 2 x x2 3 is
considered a second degree trinomial because the largest power
is 2, and there are three terms in the polynomial. Another
example is 3 4x, which is a third degree monomial because the
largest power is 3, and there is one term in the polynomial.
Review some common types of polynomials in the table below.
with One Term
with Two Terms
x^2 + 5
3x^3 – 4x
2x^2 + 4x – 1
x^3 - 5x^2 +
4x^6 + x^3
Now create your own problems that involve subtracting different
types of polynomials. Write each problem according to the
directions. Then subtract the polynomials, showing all work
necessary to write the answer in simplest form.