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Factor. See Example 2 or Example 6. $$ 6 y^{2}-…

01:24

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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 32 Medium Difficulty

Factor. See Example 2 or Example 6.
$$
10 x^{2}-9 x+2
$$

Answer

$(2 x-1) \quad(5 x-2)$

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Video Transcript

Okay, so let's fax it. Regrouping we have a which is equal to 10 B, which is able to negative and see which is equal to two. And now our key number is equal to eight times C, which is 10 times to which gives me 20. So we need the product of two numbers to be equal to our key number, which is 20 on the Somme. Of those two numbers to be equal to be, which is a bit of a night. Okay, so it seems okay, So we know that two numbers that are whose product is 20 is four times files and when we some four plus five, we get nine. But we weren't negative. 9 to 1. Take no good at football for these numbers and they'll give us gotta give us ah, product who's still positive? But it's some which is negative. Okay, so we'll split our middle turn into negative five x minus four x and then we'll fact there are first to terms and our last teachers. So, in fact, they're out of five ex from our 1st 2 terms to it to x minus one, and then we can factor native to from our last two terms. So we're left with two ex minus one. We see we have a two X minus one in common, so we can factor that out, and then we're left with five X minus two.

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Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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01:48

Factor. See Example 2 or Example 6.
$$
8 x^{2}-22 x+5
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Factor. See Example 2 or Example 6.
$$
4 x^{2}-8 x+3
$$

00:54

Factor. See Examples 1 and $2 .$
$$
x^{2}+6 x+9
$$

01:02

Factor. See Example 1 or Example 6.
$$
2 x^{2}+3 x+1
$$

02:16

Factor. See Example 5
$$-x^{2}+9 x-20$$

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Factor. See Example 1 or Example 6.
$$
5 x^{2}+7 x+2
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$$
3 x^{2}+4 x+1
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Factor. See Example 3 or Example 6.
$$
3 x^{2}-2 x-21
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Factor. See Examples 1 and $2 .$
$$
4 x^{2}-12 x+9
$$

01:28

Factor. See Example 3 or Example $10 .$
$$x^{2}+5 x-24$$

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$$

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Factor. See Example 2 or Example 6.
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Factor.
$$
y^{3}+125
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Find the GCF of each list of terms.
$$
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Use the product rule for exponents to simplify each expression. Write the re…

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