Answer:
A) 2x^2 -12x +13
B) terms {2x^2, -12x, 13}; coefficients {2, -12, 13}; constants {13}
Step-by-step explanation:
A) Using the distributive property, we get ...
-2x +3 +2x^2 -10x +10
= 2x^2 -12x +13
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B) Terms: {2x^2, -12x, 13}
Factors: There are no overall factors. Each term has factors ...
2x^2 has factors {2, x, x}
-12x has factors {-1, 2, 2, 3, x}
13 has factors {1, 13} (it is prime)
Coefficients: {2, -12, 13} . . . see note below
Constants: {13}
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<em>Additional comment</em>
We have listed the prime factors of each term, any subset can be multiplied to be a factor of the term. For example, 2·3 = 6 is a factor of -12x.
Please note that some sources do not consider a constant (13) to be a coefficient. You will need to refer to your curriculum materials to see what your author says about that.
