Question

How do you multiply `(3x^2-5)(x^4-1)`?

Answer 1

See a solution process below:

Explanation:

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

`(color(red)(3x^2) - color(red)(5))(color(blue)(x^4) - color(blue)(1))` becomes:

`(color(red)(3x^2) xx color(blue)(x^4)) - (color(red)(3x^2) xx color(blue)(1)) - (color(red)(5) xx color(blue)(x^4)) + (color(red)(5) xx color(blue)(1))`

`3x^6 - 3x^2 - 5x^4 + 5`

We can put the polynomial in standard form as:

`3x^6 - 5x^4 - 3x^2+ 5`