What is 4x^3 + 8x^2 - 96x in factored form
Luckily, you can factor out 4x:
4x^3 + 8x^2 - 96x
=4x(x^2 + 2x - 24)
look easier now?
=4x(x-6)(x+4)
4x(x+6)(x-4)
write the equation of the line in point -slope form that passes through (1,4)and has a slope of 1 over 4
To factor the given expression, we can first look for any common factors that can be factored out. In this case, the expression has a common factor of 4x, so we can factor that out:
4x(x^2 + 2x - 24)
Next, we need to factor the quadratic expression inside the parentheses (x^2 + 2x - 24). To do this, we need to find two numbers whose product is -24 and whose sum is 2.
The factors of -24 are:
-1 and 24
-2 and 12
-3 and 8
-4 and 6
From these pairs, we can see that -4 and 6 have a sum of 2. Hence, we can rewrite the expression as:
4x(x - 4)(x + 6)
Thus, the factored form of the given expression is 4x(x - 4)(x + 6).