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kiss69fist23
3x2 + 17x + 10 Factor completely . Show your work.
we need to get +17 using 3*1 and factors of 10 - try 5 * 2 by inspection you can see that 3 * 5 + 1 * 2 will do it so put 3 and 5 on 'outside' and 1 and 2 on inside (3x + 2)(1x + 5)
I start with (3x+_)(x+_), since you must have at least that to get the 3x^{2}, then just figure which two numbers multiply to give 10 and add to give 17. hence 5 and 2, just make sure to put them in the right place! (check after)