Question
Factor the expression
4(3k2−1)
Evaluate
12k2−4
Solution
4(3k2−1)
Show Solution

Find the roots
k1=−33,k2=33
Alternative Form
k1≈−0.57735,k2≈0.57735
Evaluate
12k2−4
To find the roots of the expression,set the expression equal to 0
12k2−4=0
Move the constant to the right-hand side and change its sign
12k2=0+4
Removing 0 doesn't change the value,so remove it from the expression
12k2=4
Divide both sides
1212k2=124
Divide the numbers
k2=124
Cancel out the common factor 4
k2=31
Take the root of both sides of the equation and remember to use both positive and negative roots
k=±31
Simplify the expression
More Steps

Evaluate
31
To take a root of a fraction,take the root of the numerator and denominator separately
31
Simplify the radical expression
31
Multiply by the Conjugate
3×33
When a square root of an expression is multiplied by itself,the result is that expression
33
k=±33
Separate the equation into 2 possible cases
k=33k=−33
Solution
k1=−33,k2=33
Alternative Form
k1≈−0.57735,k2≈0.57735
Show Solution
