For this case we have the following polynomial:
[tex]P (x) = 8x ^ 3-2x ^ 2 + x + 3x ^ 3[/tex]
To simplify, we must add terms whose exponent is the same, that is:
Given:
[tex]Q (x) = ax ^ n + bx ^ 3 + cx ^ n[/tex]
Where:
a, b, c are the coefficients of the terms of the polynomial
x: It is the variable
n, 3: Are the exponents associated with the terms
We can simplify the form:
[tex]Q (x) = (a + c) x ^ n + bx ^ 3[/tex]
That said, we can simplify the given polynomial in the following way:
[tex]P (x) = (8 + 3) x ^ 3-2x ^ 2 + x\\P (x) = 11x ^ 3-2x ^ 2 + x[/tex]
Answer:
[tex]P (x) = 11x ^ 3-2x ^ 2 + x[/tex]
