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Factor. See Example 1 or Example 6.$$3 a^{2}+10 a+3$$
$(3 a+1)(a+3)$
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
McMaster University
Idaho State University
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Okay, so let's fact the regrouping. So we need to identify our three terms. We have a which is a three B, which is 10 and see, which is three. Now. We need to find our key number. That's just a time C, which is a good 23 times three, which is nine. And now we need a product which is equal to nine on which sums to be what you tend. Well, we see that a product of nine is nine times one and nine plus one sounds to 10. So we have or to introduce that we're gonna split the military thing, too. So let's put it into it. Isn't seen nine a and +18 Okay, And now let's factor by grouping. So we see it at the 1st 2 terms can be factored. We contract out on a and a three. So we're left with a plus three. What becomes three Now we see that we have a place to be in common that we can factor out. So we have bad times to be a plus one
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