Question

simplify each of the following polynomials and put your answers in standard form: Show your work (3x-4x^2 8^3) (-6x 2x^4-5x^2)

Answer 1

(3x-4x^2 8^3) (-6x 2x^4-5x^2) = -12x^5 + 4x^8 + 30x^3 ( in the standard form).

Step-by-step explanation:

To simplify the given polynomials, we need to multiply the terms within each parenthesis using the distributive property.

Then, we can combine like terms and arrange the terms in standard form, which means ordering the terms in descending order of exponents.

Let's simplify the first polynomial:

(3x - 4x^2) * (8^3)

First, we multiply each term in the first polynomial by 8^3:

3x * 8^3 - 4x^2 * 8^3

Next, we can combine like terms and arrange them in standard form:

192x^3 - 2048x^2

Now, let's simplify the second polynomial:

(-6x + 2x^4 - 5x^2)

Again, we multiply each term by the terms in the second polynomial:

-6x * 2x^4 + 2x^4 * 2x^4 - 5x^2 * (-6x)

Combining like terms and arranging in standard form:

-12x^5 + 4x^8 + 30x^3