When subtracting polynomials you must distribute the minus sign to all of the terms in the polynomial being subtracted.

Adding and Subtracting Polynomials

What will you get if you subtract – x2 – x + 8 from 5x2 – 6x + 5?-6x2 - 5x + 34x2 - 7x + 13-6x2 - 7x - 13More than one of the aboveNone of the above

Problem(6x2−7x+5)−(4x2+3x−8)(6𝑥2−7𝑥+5)−(4𝑥2+3𝑥−8) SolutionFirst, you want to remove the parentheses. Because this is a subtraction problem, it is like there is a −1 in front of the second set of parentheses.1(6x2−7x+5)+(−1)(4x2+3x−8)1(6𝑥2−7𝑥+5)+(−1)(4𝑥2+3𝑥−8)When you distribute a −1, each term inside that set of parentheses will change its sign. We can also drop the parentheses in this step.=6x2−7x+5−4x2−3x+8=6𝑥2−7𝑥+5−4𝑥2−3𝑥+8Next, combine like terms. You can start with rearranging them so that like terms are together. Remember to keep the signs with the correct terms.=6x2−4x2−7x−3x+5+8=6𝑥2−4𝑥2−7𝑥−3𝑥+5+8== x2−𝑥2− x+𝑥+

Subtract the polynomials and simplify.(-6m2 - 7m + 8) - (2m2 - 5m - 9)Select one:a. -8m2 - 2m + 17b. -8m2 - 7m2 + 5m + 17c. -4m2 - 12m - 1d. -8m2 - 12m - 1

Instructions: Write the polynomial expression in standard form. 10x3−14x2+3x−4x3+4x−610𝑥3−14𝑥2+3𝑥−4𝑥3+4𝑥−6Question 12Select one:−4x2+x−6−4𝑥2+𝑥−614x3−14x2+7x−614𝑥3−14𝑥2+7𝑥−6−6+7x−14x2+6x3−6+7𝑥−14𝑥2+6𝑥36x3−14x2+7x−6