Question

Add the Polynomials (4x^2 + 3x) + (x^2 - 5x)

Answer 1

`\(5x^2 - 2x\)`

Step-by-step explanation:

Certainly! To add the polynomials
`\((4x^2 + 3x) + (x^2 - 5x)\)`, you can combine like terms. Here's the equation:

`\[ (4x^2 + 3x) + (x^2 - 5x) \]`

Combine the like terms by adding the coefficients of the same degree:

`\[ (4x^2 + x^2) + (3x - 5x) \]\\`

Combine the coefficients:

`\[ 5x^2 - 2x \]`

So, the sum of the polynomials is
`\(5x^2 - 2x\)`.

Answer 2

To add the polynomials (
`4x^(2) +3x`) and (
`x^(2) - 5x`), identify and combine like terms:
`4x^(2)` and
`x^(2)` are added to get
`5x^(2)`, and 3x and -5x are added to get -2x, resulting in the sum
`5x^(2)` - 2x.

Step-by-step explanation:

To add the polynomials (
`4x^(2)` + 3x) and (
`x^(2)` - 5x), we combine like terms. Like terms are terms that have the same variables raised to the same power. The process is similar to adding ordinary numbers, where it doesn't matter the order in which you add them.

Here's how we add the given polynomials step-by-step:

First, identify like terms. In this case,
`4x^(2)` and
`x^(2)` are like terms (both have the variable x squared), and 3x and -5x are like terms (both have the variable x to the first power).

Next, add the coefficients of like terms. So we add the coefficients of
`x^(2)`terms: 4 + 1 = 5, and the coefficients of x terms: 3 - 5 = -2.

The resulting polynomial is 5
`x^(2)` - 2x.

Combining like terms gives us the sum of the two polynomials:

5
`x^(2)`- 2x