Question

multiply and simplify, if necessary.

\\-2x^4(7x^6 - 3x^3 + 5)\\

Explanation:

Distribute the monomial to each term

Using the Multiplying Monomial by Polynomial knowledge point

$$ -2x^4(7x^6 - 3x^3 + 5) = (-2x^4)(7x^6) + (-2x^4)(-3x^3) + (-2x^4)(5) $$

Multiply the coefficients and add exponents

Using the Product Rule of Exponents knowledge point

$$
LATEXBLOCK0
$$

Combine the simplified terms

Using the Polynomial Simplification knowledge point

$$ -14x^{10} + 6x^7 - 10x^4 $$

Answer:

\(-14x^{10} + 6x^7 - 10x^4\)