# Find the Equation Given the Roots 2+ square root of 3 , 2- square root of 3 ,
Roots are the points where the graph intercepts with the x-axis .
at the roots
The root at was found by solving for when and .
The factor is
The root at was found by solving for when and .
The factor is
Combine all the factors into a single equation.
Multiply all the factors to simplify the equation .
Expand by multiplying each term in the first expression by each term in the second expression.
Simplify terms.
Combine the opposite terms in .
Reorder the factors in the terms and .
Subtract from .
Simplify each term.
Multiply by .
Move to the left of .
Multiply by .
Multiply by .
Multiply .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Evaluate the exponent.
Multiply by .
Combine the opposite terms in .
Subtract from .
Subtract from .
Find the Equation Given the Roots 2+ square root of 3 , 2- square root of 3     