Find the Roots (Zeros) x^4+x^3-15x^2-16x-16

Math
Set equal to .
Solve for .
Tap for more steps…
Factor the left side of the equation.
Tap for more steps…
Regroup terms.
Factor out of .
Tap for more steps…
Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Factor.
Tap for more steps…
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Remove unnecessary parentheses.
Rewrite as .
Let . Substitute for all occurrences of .
Factor using the AC method.
Tap for more steps…
Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Write the factored form using these integers.
Replace all occurrences of with .
Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Factor out of .
Tap for more steps…
Factor out of .
Factor out of .
Reorder terms.
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Set the first factor equal to and solve.
Tap for more steps…
Set the first factor equal to .
Subtract from both sides of the equation.
Set the next factor equal to and solve.
Tap for more steps…
Set the next factor equal to .
Add to both sides of the equation.
Set the next factor equal to and solve.
Tap for more steps…
Set the next factor equal to .
Use the quadratic formula to find the solutions.
Substitute the values , , and into the quadratic formula and solve for .
Simplify.
Tap for more steps…
Simplify the numerator.
Tap for more steps…
One to any power is one.
Multiply by .
Multiply by .
Subtract from .
Rewrite as .
Rewrite as .
Rewrite as .
Multiply by .
The final answer is the combination of both solutions.
The final solution is all the values that make true.
Find the Roots (Zeros) x^4+x^3-15x^2-16x-16


Need help with MATH HOMEWORK

We can help your. Our mathematic problem solver answers your math homework questions with step-by-step explanations.

Need help with math? Try to Solve Algebra Math Problems here: https://elanyachtselection.com/

Scroll to top