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What are all the factors of the square number 576?
They are numbers of the form 2a*3b where a is 0, 1, ... , 6 and b = 0, 1 or 2.
Factor this expression Check by multiplying factors 3ab-a-3b2 plus b?
(3b - 1)(a - b)
What does 3gb and 375mb have in common?
3b
How fo you factor 14a2-21a?
Usually, the easiest way to do this is to find a pair of numbers whose sum is equal to the coefficient of the first term, and whose product is equal to the product of the coefficients of the first and last terms: a + b = -3 a * b = -10 take all possible pairs of numbers that multiply to make negative ten: 1 * -10 = -10 -1 * 10 = -10 2 * -5 = -10 -2 * 5 = -10 and then find which one of those pairs also adds up to negative three: 1 + (-10) = -9 -1 + 10 = 9 2 + (-5) = -3 -2 + 5 = 3 So 2 and -5 are the coefficients we want. Now take our original equation: 10a2 - 3a - 1 and separate the middle term into two terms using those coefficients: 10a2 - 5a + 2a - 1 You can then factor a common term out of the first pair and last pair of terms: 5a(2a - 1) + 1(2a - 1) and then group your coefficients: (5a + 1)(2a - 1) Giving you the answer.
What does factor by grouping mean?
ex: 2x2 + 6bx + 5x + 15b Group 1st 2 terms and last 2 terms. Factor separately. = (2x2 + 6bx) + (5x + 15b) Factor using gcf = 2x(x + 3b) + 5(x + 3b) notice the parenthesis are the same = (2x + 5)(x + 3b)
