Solve by factoring.1. x 2 − 2 x − 15 = 02. 2 x 2...

John Landry

John Landry

Answered

2022-07-26

Solve by factoring.
1. x 2 2 x 15 = 0
2. 2 x 2 + 5 x 3 = 0
3. x 2 = 10 x
4. x 3 + 2 x 2 8 x = 0
V: Solving Cubic Equations, V: Factoring cubes.

Answer & Explanation

autosmut6p

autosmut6p

Expert

2022-07-27Added 8 answers

Step 1
1) x 2 2 x 15 = 0
x 2 5 x + 3 x 15 = 0
x ( x 5 ) + 3 ( x 5 ) = 0
( x + 3 ) ( x 5 ) = 0
x = 3 , x = 5
Step 2
2) 2 x 2 + 5 x 3 = 0
2 x 2 + 6 x x 3 = 0
2 x ( x + 3 ) 1 ( x + 3 ) = 0
( 2 x 1 ) ( x + 3 ) = 0
x = 1 2 , x = 3
3) x 2 10 x = 0
x ( x 10 ) = 0
x = 0 , x = 10
4) x 3 + 2 x 2 8 x = 0
x ( x 2 + 2 x 8 ) = 0
x ( x 2 + 4 x 2 x 8 ) = 0
x [ x ( x + 4 ) 2 ( x + 4 ) ] = 0
( x ) ( x 2 ) ( x + 4 ) = 0
x = 0 , x = 2 , x = 4

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