Question

Write the polynomial in standard form. (-3x³+7x²-3x+8)+(8x³+10x²-10x-5)

Answer 1

The polynomial in standard form is 5x³ + 17x² - 13x + 3, with terms ordered by descending powers of x.

Step-by-step explanation:

To write the polynomial in standard form, you have to combine like terms from the two polynomials (-3x³+7x²-3x+8) and (8x³+10x²-10x-5). So, let's do it step by step:

First, combine the x³ (cubed) terms:

-3x³ + 8x³ = 5x³

Next, combine the x² (squared) terms:

7x² + 10x² = 17x²

Then, combine the x terms:

-3x - 10x = -13x

Lastly, combine the constant terms:

8 - 5 = 3

Now put all the combined terms together to write the polynomial in standard form:

5x³ + 17x² - 13x + 3

Remember, standard form requires that terms are ordered by descending powers of x.