Question

Given the expression-1/2(4x-6) +2 (x2-5x+5) complete the instructions below

Answer 1

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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Additional comment

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.