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A numeric coefficient is simply a number that is being multiplied by something else. For example, in the term: 3a the number 3 is a numeric coefficient of the term "a". This is just a short way of expressing multiplication. That term means the same thing as: 3 × a
1st term is a perfect square 3rd term is a perfect square square root of 1st and 3rd term multiplied together then multiplied again by 2 to get the middle term
The mathematical term 'perfect square' means that a number, which has a rational number as its square root. 25 is a perfect square, because its square root is 5, a rational number.
A factor is a number that multiplies to create a product. Since 3 x 4 = 12, 3 and 4 are factors of 12.