Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
f3−2f2−128f
Evaluate
f3−2f2−8f×16
Solution
f3−2f2−128f
Show Solution
Factor the expression
f(f2−2f−128)
Evaluate
f3−2f2−8f×16
Multiply the terms
f3−2f2−128f
Rewrite the expression
f×f2−f×2f−f×128
Solution
f(f2−2f−128)
Show Solution
Find the roots
f1=1−129,f2=0,f3=1+129
Alternative Form
f1≈−10.357817,f2=0,f3≈12.357817
Evaluate
f3−2f2−8f×16
To find the roots of the expression,set the expression equal to 0
f3−2f2−8f×16=0
Multiply the terms
f3−2f2−128f=0
Factor the expression
f(f2−2f−128)=0
Separate the equation into 2 possible cases
f=0f2−2f−128=0
Solve the equation
More Steps
Evaluate
f2−2f−128=0
Substitute a=1,b=−2 and c=−128 into the quadratic formula f=2a−b±b2−4ac
f=22±(−2)2−4(−128)
Simplify the expression
More Steps
Evaluate
(−2)2−4(−128)
Multiply the numbers
(−2)2−(−512)
Rewrite the expression
22−(−512)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
22+512
Evaluate the power
4+512
Add the numbers
516
f=22±516
Simplify the radical expression
More Steps
Evaluate
516
Write the expression as a product where the root of one of the factors can be evaluated
4×129
Write the number in exponential form with the base of 2
22×129
The root of a product is equal to the product of the roots of each factor
22×129
Reduce the index of the radical and exponent with 2
2129
f=22±2129
Separate the equation into 2 possible cases
f=22+2129f=22−2129
Simplify the expression
f=1+129f=22−2129
Simplify the expression
f=1+129f=1−129
f=0f=1+129f=1−129
Solution
f1=1−129,f2=0,f3=1+129
Alternative Form
f1≈−10.357817,f2=0,f3≈12.357817
Show Solution