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Factor. If an expression is prime, so indicate.$$18 x^{2}+31 x-10$$

$(18 x-5)(x+2)$

Algebra

Chapter 6

Factoring and Quadratic Equations

Section 3

Factoring Trinomials of the Form $a x^{2}+b x+c 454$

Equations and Inequalities

Quadratic Functions

Oregon State University

McMaster University

Harvey Mudd College

University of Michigan - Ann Arbor

Lectures

01:18

Factor. If an expression i…

Factor each trinomial comp…

03:31

Factor completely. If a po…

01:54

Factor completely, or stat…

01:45

01:26

00:40

01:06

Completely factorize the e…

Okay, so we're asking factor. So we have a which is legal to 18 be with you 6 to 31 see which is able to make it a 10. So our key number is equal to a time. See, which is negative 10 times 18 which gives me a negative 1 80 And so we need to find two products or two numbers whose products is equal to negative 1 80 and who's some is equal to 31. So two numbers we can choose our 586. And when we're something five and 36 to make it equal to 31 we need our five to be negative, and I gives us a product that is also negative. So let's put up our middle turn into 36 x minus. Fly the X and then we have the falling and I will factor the first determines, see, weaken fact they're out, eh? Then you see well, in fact, therefore, from the 1st 2 terms or a nine, so we get each in divided pine nine. We can also backed out to do yet two plus 36 divided by nine used before and based on this. I come back to this one more time I call out to so you get nine times to which is 18 X and then expose for and then for last teachers. You can fact that or they got a five gives us X Plus two. So this should be too. Get the falling. And now we can factor out a experts, too, because they have that in common. And then we get X close to times 18 x minus five.

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