Question

factor
15u^2-19u-10

Answer 1

(15u+5)(u-2)?

Answer 2

-30u+5u does not equal -19u

Answer 3

\[a \cdot c =15(-10)=30(-5)=25(-6)=-25(6) ; b=-25+6=> bx=-25x+6x\]

Answer 4

so we will use factor by grouping

Answer 5

\[15u^2-25u+6u-10\]
by the way i meant u above not x lol

Answer 6

the first two terms have 5u in common so we can do
\[5u(3u-5)+6u-10\]
the last two terms have 2 in common
so we have
\[5u(3u-5)+2(3u-5)\]

Answer 7

now we have two terms and they both have (3u-5) in common
so we can factor out (3u-5) leaving behind the 5u +2

Answer 8

\[(3u-5)(5u+2)\]

Answer 9

So in the beginning what I did was found two factors of a*c that have product a*c and sum b.