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Factor. See Example 2 or Example 6.$$6 y^{2}-43 y+7$$
$(y-7)(6 y-1)$
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
Missouri State University
Oregon State University
Harvey Mudd College
Lectures
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Okay, so it's factor. We have a which is equal to six of you, which is a continuation of 43 see which is equal to seven. So we need our key number, which is equal to a time. See, which is six times seven. Thank you's me 42. And now we need the product of two numbers to be equal to 42 and who's some is equal to be, which is negative. 43. Well, two numbers we can use is 42 1 The product of that is 42 it's some physical to 43 but we need negative. 43 2 would take the negative. Both of these numbers. Okay, so we didn't take our middle term and split it up into negative 22. Why? Minus why? And not with, in fact, our 1st 2 terms as well as I last two terms. So we can factor a six. Why, From our 1st 2 terms, we're left with a Y minus seven. Now, in fact, a negative one from our last two terms. We're left with a Y minus seven, and always you. We have a 17 and confident that we can factor out. So we have that time six y minus one
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