use the FOIL system First, Outside, Inside, Last. when you see this (x -2)(5x -7) multiply the numbers that appear first in each system. in this case x and 5x. When multiplying variables simply raise the power. x times 5x = 5x^2. Then you multiply the two outside numbers in this case x and -7. which equals -7x. Then the inside numbers in the same manner. -2 and 5x equals -10x. and then the numbers that appear last in each system. -7 and -2 which equals +14. Finally add all the terms. 5x^2 + -10x + -7x + 14 = 5x^2 -17x +14
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The factors of x2 are x and x.
You sure can, here is an example I made up to show you: x4+x2= x2(x2+x) When you factor it out it should look like this because if you multiply it back up (where the exponents will multiply not add) it will equal the primary equation.
x2 - 5x + 6 = (x - 2)(x - 3)
x2+9x-36 = (x-3)(x+12) when factored
x2 = -11x - 10 x2 + 11x + 10 = 0 (x + 1)(x + 10) = 0