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
Question
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
Solution
To subtract polynomials, you subtract the like terms from each polynomial.
The like terms are terms with the same variable and exponent.
Here are the steps:
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Distribute the negative sign to each term in the second polynomial: -(2m^2) - (-5m) - (-9) becomes -2m^2 + 5m + 9.
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Now, subtract the like terms:
-6m^2 - (-2m^2) = -6m^2 + 2m^2 = -4m^2
-7m - 5m = -12m
8 - 9 = -1
So, the simplified form of the given polynomials is -4m^2 - 12m - 1.
Therefore, the correct answer is c. -4m^2 - 12m - 1.
Similar Questions
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
Rewrite the following polynomial in standard form.2, minus, 8, x, minus, start fraction, x, squared, divided by, 5, end fraction2−8x− 5x 2
Instructions: Simplify the polynomial expression.(5−5x2−x)−(6x−4x2−3)(5−5𝑥2−𝑥)−(6𝑥−4𝑥2−3)Answer:
Adding and Subtracting Polynomials
(−6x−2)+(6x 2 −5x−10)
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