High School

Simplify the polynomial expression:

[tex]7x^6 + x^4 - 2x^3 + 6x^2 + 49x + 7x^2 - 14x + 42[/tex]

Answer :

To solve the given expression, you need to simplify it by combining any like terms. Let's break down the expression and look for terms that we can simplify:

The original expression is:

[tex]\[ 7x^6 + x^4 - 2x^3 + 6x^2 + 49x + 7x^2 - 14x + 42 \][/tex]

1. Combine like terms:

- Combine the [tex]\(x^2\)[/tex] terms: [tex]\(6x^2 + 7x^2 = 13x^2\)[/tex]
- Combine the [tex]\(x\)[/tex] terms: [tex]\(49x - 14x = 35x\)[/tex]

2. Rewrite the simplified expression:

After combining the like terms, the expression becomes:

[tex]\[ 7x^6 + x^4 - 2x^3 + 13x^2 + 35x + 42 \][/tex]

This simplified expression is the answer, as all like terms have been combined and no further simplification is possible.