factor completely 4x2^-8x
Sherri -- please type your school subject in the above box the next time you post.
I know of no school subjects called "need help."
there is a common factor of 4x, so
4x(x - 2)
check this answer by expanding it.
To factor the quadratic expression 4x^2 - 8x completely, we can factor out the greatest common factor (GCF) and then use the zero product property.
Step 1: Find the GCF
In this case, the GCF of the terms 4x^2 and -8x is 4x, as it is the largest common factor that can be divided evenly into both terms.
Step 2: Factor out the GCF
We can factor out 4x from each term:
4x^2 - 8x = 4x(x - 2)
Step 3: Apply the zero product property
Now, we have a product of two factors equal to zero: 4x(x - 2) = 0. According to the zero product property, if a product is equal to zero, then at least one of the factors must be zero.
Setting each factor to zero gives us:
4x = 0 or x - 2 = 0
Solving for x in each equation:
For 4x = 0, divide both sides by 4 to get x = 0.
For x - 2 = 0, add 2 to both sides to get x = 2.
Therefore, the completely factored form of the given quadratic expression is:
4x^2 - 8x = 4x(x - 2) = 0 (in factored form)
x = 0 or x = 2 (in solution form)