can someone please help me
asked Aug 14, 2014 in Algebra 1 Answers by capoislamort Level 1 User (580 points)

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1 Answer

21x^2 + 46x + 24

For the x^2 part it should factor into 7x * 3x or 21x * x

Let's try 7x * 3x:

(7x   ) (3x   )

For the 24 part there are a bunch of possibilities: 1 * 24, 2 * 12, 3 * 8, 4 * 6

Let's try 3 * 8

(7x  3) (3x  8)

7*8 = 56, 3*3 = 9

Can't make 46 out of 56 and 9. . .

(7x  8) (3x  3)

7*3 = 21, 8*3 = 24

Can't make 46 out of 21 and 24. . .

Let's try 4 and 6

(7x  4) (3x  6)

7*6 = 42, 4*3 = 12

Can't make 46 out of 42 and 12

(7x  6) (3x  4)

7*4 = 28, 6*3 = 18

We can make 46 out of 28 and 18, so let's try this:

(7x + 6) (3x + 4)

Expand that out and we get. . .

21x^2 + 46x + 24

That matches our original problem, so:

The factors of 21x^2 + 46x + 24 are (7x+6) and (3x+4)
answered Aug 14, 2014 by johnperkins Top Rated User (103,080 points)
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