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Problem

Factor. See Example 4. $$ 6 r^{2}+r s-2 s^{2} …

01:38

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81 Problem 82 Problem 83 Problem 84 Problem 85 Problem 86 Problem 87 Problem 88 Problem 89 Problem 90 Problem 91 Problem 92 Problem 93 Problem 94 Problem 95 Problem 96 Problem 97 Problem 98 Problem 99 Problem 100 Problem 101 Problem 102 Problem 103 Problem 104 Problem 105 Problem 106 Problem 107 Problem 108 Problem 109 Problem 110 Problem 111 Problem 112 Problem 113 Problem 114 Problem 115 Problem 116 Problem 117 Problem 118

Problem 42 Medium Difficulty

Factor. See Example 3 or Example 6.
$$
13 y^{2}+9 y-4
$$

Answer

$(y+1)(13 y-4)$

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Section 3

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

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Video Transcript

Okay, so we have the falling and were asked the fact it So we'll use the grouping method. So a sequel to 13 musical tonight and see is you tonight Before now our key number is equal to eight times seems so. That's 13 times negative for which gives me negative 52. So we have two numbers. This product is equal to negative 52 which is our key number and who's some is equal to be, which is not Okay, so let's see. Oh, we have. Or we can use a fore and 13. And then, if we some foreign 13 in order to make it nine, we need our four to be negative. So 13 minutes for gives me nine and negative. Four times 13 gives me negative 52. So I'm going to split my middle term into 13. Why? I'm gonna put 13. Why here? Because then I could factor it with 13 y squared and then negative four. Why my sport? Okay, no, I'll factor my 1st 2 terms in my last two terms. In fact, a doting wife from my 1st 2 terms. So I get what you plus one. And in a negative floor from my last two tenants. So I get why that's one. Now have a wife. It's one in common that I could back out. And then we're left with a 13. Why minus four?

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Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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00:37

Factor. See Examples 6 through $9 .$
$$
y^{3}+1
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01:24

Factor. See Example 2 or Example 6.
$$
6 y^{2}-13 y+2
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01:17

Factor. See Examples 6 through $9 .$
$$
27 y^{2}-x^{3} y^{2}
$$

01:21

Factor. See Example 3 or Example 6.
$$
11 y^{2}+7 y-4
$$

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Factor. See Examples 6 through $9 .$
$$
54 y^{3}-128
$$

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Factor. See Example 9.
$$
1-(x+y)^{3}
$$

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Factor. See Examples 6 through $9 .$
$$
250 y^{3}-16 x^{3}
$$

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Factor. See Examples 6 through $9 .$
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x^{3}+27
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Factor. See Examples 3 through 5
$$
x^{2}+6 x+9-y^{2}
$$

01:32

Factor. See Example 3 or Example 6.
$$
5 y^{2}-18 y-8
$$

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