# High School Math : How to solve a polynomial in pre-algebra

## Example Questions

### Example Question #1 : How To Solve A Polynomial In Pre Algebra

Solve

Explanation:

To solve an equation with  we must take the cube root of each side of the equation to get  by itself.

Doing this makes our problem look like

Then we perform the cube root to get the answer .

### Example Question #2 : How To Solve A Polynomial In Pre Algebra

Solve

Explanation:

To solve an equation with  we must take the square root of each side of the equation to get  by itself.

Doing this makes our problem look like

Then we perform the square root to get the answer

Remember that  squared can also equal  so our answer will be both positive and negative.

The final answer looks like

### Example Question #3 : How To Solve A Polynomial In Pre Algebra

Solve

Explanation:

To solve an equation with  we must take the cube root of each side of the equation to get  by itself.

Doing this makes our problem look like

Then we perform the cube root to get the answer .

### Example Question #4 : How To Solve A Polynomial In Pre Algebra

Sovle .

Explanation:

To solve an equation with  we must take the square root of each side of the equation to get  by itself.

Doing this makes our problem look like

Then we perform the square root to get the answer

Remember that  can also equal  so our answer will be both positive and negative.

The final answer looks like .

### Example Question #5 : How To Solve A Polynomial In Pre Algebra

Solve for  if,

Explanation:

To solve an equation with  we must take the quad root of each side of the equation to get  by itself.

Doing this makes our problem look like

Then we perform the quad root to get the answer

Remember that  can also equal  so our answer will be both positive and negative.

The final answer looks like .

### Example Question #6 : How To Solve A Polynomial In Pre Algebra

Solve for  if,

Explanation:

To solve an equation with  we must take the square root of each side of the equation to get  by itself.

Doing this makes our problem look like

Then we perform the square root to get the answer

Remember that  can also equal  so our answer will be both positive and negative.

The final answer looks like .

### Example Question #7 : How To Solve A Polynomial In Pre Algebra

Solve for if  .

Explanation:

To solve an equation with  we must take the cube root of each side of the equation to get  by itself.

Doing this makes our problem look like .

Then we take the cubed root of both sides to get .

### Example Question #8 : How To Solve A Polynomial In Pre Algebra

Solve for if .

Explanation:

To solve an equation with  we must take the fifth root of each side of the equation to get  by itself.

Doing this makes our problem look like .

Then we take the fifth root to get the answer, .

The final answer is .

### Example Question #9 : How To Solve A Polynomial In Pre Algebra

Solve for if  .

Explanation:

To solve an equation with , we must take the square root of each side of the equation to isolate :

Remember that  can also equal , so our answer needs to include both positives and negatives.

The final answer is then .

### Example Question #1 : How To Solve A Polynomial In Pre Algebra

Solve for  when