Subtract -5x^(2)+8x+6 from -x-9. Answer:

Write Polynomials: Write down the polynomials to be subtracted. We have the polynomials -5x^(2)+8x+6 (to be subtracted) and -x-9 (from which we are subtracting).Set Up Problem: Set up the subtraction problem. To subtract one polynomial from another, we change the signs of the polynomial being subtracted and then add the polynomials together. (-x - 9) - (-5x^(2) + 8x + 6)Change Signs and Combine: Change the signs of the second polynomial and combine like terms. (-x - 9) + (5x^(2) - 8x - 6) Now, combine the like terms.Combine Like Terms: Combine the like terms. There are no like terms for 5x^(2), so it remains as is. For the x terms, we have -x - 8x, and for the constant terms, we have -9 - 6. 5x^(2) + (-x - 8x) + (-9 - 6)Simplify Expression: Simplify the expression. 5x^(2) + (-1 - 8)x + (-9 - 6) 5x^(2) - 9x - 15

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Algebra 2

Add and subtract polynomials

Full solution

Q. Subtract

-5 x^{2}+8 x+6

from

-x-9

\newline

Answer:

Write Polynomials: Write down the polynomials to be subtracted. $\newline$ We have the polynomials $-5x^{2}+8x+6$ (to be subtracted) and $-x-9$ (from which we are subtracting).
Set Up Problem: Set up the subtraction problem. $\newline$ To subtract one polynomial from another, we change the signs of the polynomial being subtracted and then add the polynomials together. $\newline$ $(-x - 9) - (-5x^{2} + 8x + 6)$
Change Signs and Combine: Change the signs of the second polynomial and combine like terms. $\newline$ $(-x - 9) + (5x^{2} - 8x - 6)$ $\newline$ Now, combine the like terms.
Combine Like Terms: Combine the like terms. $\newline$ There are no like terms for $5x^{2}$ , so it remains as is. For the $x$ terms, we have $-x - 8x$ , and for the constant terms, we have $-9 - 6$ . $\newline$ $5x^{2} + (-x - 8x) + (-9 - 6)$
Simplify Expression: Simplify the expression. $\newline$ $5x^{2} + (-1 - 8)x + (-9 - 6)$ $\newline$ $5x^{2} - 9x - 15$