+0  
 
0
453
1
avatar

so I don#t know how to find the zero from the factorised form of a quadratic (or things like that) when the factor contains a variable with power.

So for instance how and what would be the zero of (x-2)(x^2-x-12)=0

Thanks beforehand!

 Nov 8, 2015

Best Answer 

 #1
avatar
+18

Solve for x:
(x-2) (x^2-x-12) = 0

Split into two equations:
x-2 = 0 or x^2-x-12 = 0

Add 2 to both sides:
x = 2 or x^2-x-12 = 0

The left hand side factors into a product with two terms:
x = 2 or (x-4) (x+3) = 0

Split into two equations:
x = 2 or x-4 = 0 or x+3 = 0

Add 4 to both sides:
x = 2 or x = 4 or x+3 = 0

Subtract 3 from both sides:
Answer: | 
| x = 2   or x = 4   or x = -3

 Nov 8, 2015
 #1
avatar
+18
Best Answer

Solve for x:
(x-2) (x^2-x-12) = 0

Split into two equations:
x-2 = 0 or x^2-x-12 = 0

Add 2 to both sides:
x = 2 or x^2-x-12 = 0

The left hand side factors into a product with two terms:
x = 2 or (x-4) (x+3) = 0

Split into two equations:
x = 2 or x-4 = 0 or x+3 = 0

Add 4 to both sides:
x = 2 or x = 4 or x+3 = 0

Subtract 3 from both sides:
Answer: | 
| x = 2   or x = 4   or x = -3

Guest Nov 8, 2015

0 Online Users