High School

Solve the following equations:

1. [tex]2x^3 - 7x^4 + 7x = ?[/tex]
2. [tex]11x^3 - 4x^4 - x = ?[/tex]

Options:
A. [tex]-5x[/tex]
B. [tex]3x^3 - 5x[/tex]
C. [tex]5x^4 - 7x^3[/tex]
D. [tex]x^4 - 2x^3[/tex]

Answer :

Final answer:

To solve the given equations, rearrange the terms in descending order, combine like terms, and simplify. The equation simplifies to x(11x^2 - 4x^3 - 1).

Explanation:

To solve the equation 2x^3 - 7x^4 + 7x, we first arrange the terms in descending order according to their exponents: -7x^4 + 2x^3 + 7x. Then, we combine like terms: -7x^4 + 2x^3 + 7x = x(2x^2 - 7x^3 + 7). Therefore, the equation simplifies to x(2x^2 - 7x^3 + 7).

To solve the equation 11x^3 - 4x^4 - x, we arrange the terms in descending order: -4x^4 + 11x^3 - x. Combining like terms, we get -4x^4 + 11x^3 - x = x(11x^2 - 4x^3 - 1). Thus, the equation simplifies to x(11x^2 - 4x^3 - 1).

Learn more about Equation simplification here:

https://brainly.com/question/33857870

#SPJ11

Other Questions