Question

Simplify 8x^3-2x^2+x+3x^3

Answer 1

8x^3-2x^2+x+3x^3

combine like terms

8x^3+3x^3-2x^2+x

11x^3 -2x^2 +x

Answer 2

For this case we have the following polynomial:

$P (x) = 8x ^ 3-2x ^ 2 + x + 3x ^ 3$

To simplify, we must add terms whose exponent is the same, that is:

Given:

$Q (x) = ax ^ n + bx ^ 3 + cx ^ n$

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:

$Q (x) = (a + c) x ^ n + bx ^ 3$

That said, we can simplify the given polynomial in the following way:

$P (x) = (8 + 3) x ^ 3-2x ^ 2 + x\\P (x) = 11x ^ 3-2x ^ 2 + x$

Answer:

$P (x) = 11x ^ 3-2x ^ 2 + x$