how do i factor b2 (squared) - 18b -144

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- Jun 21st 2008, 10:00 AM #1

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- Jun 21st 2008, 10:51 AM #2
We need to find factors of -144 that add up to -18

lets check a few

$\displaystyle -12 \cdot 12=-144 \\\ -12+12=0$ nope

$\displaystyle -6 \cdot 24=-144 \\\ -6+24=18$

This is the right number but the wrong sign so we switch the minus sign

$\displaystyle 6 \cdot (-24)=-144 \\\ 6+(-24)=-18$

so Now if factors into

$\displaystyle (b+6)(b-24)$

- Jun 21st 2008, 11:05 AM #3

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- Jun 21st 2008, 11:08 AM #4

- Jun 21st 2008, 11:12 AM #5

- Jun 21st 2008, 11:15 AM #6