Higher Degree Equations and Inequalities
Cubic Equation
Submitted by vladimir.arzt on Wed, 01/28/2026 - 11:24Roots of Polynomial Equation
Submitted by michaela.bailova on Wed, 04/17/2024 - 17:53Polynomial Inequalities
Submitted by michaela.bailova on Fri, 04/05/2024 - 12:572010009707
Level:
A
Find the factored form of the equation.
\[ x^4-81=0 \]
\( \left(x^2+9\right)\left(x-3\right)\left(x+3\right)=0 \)
\( \left(x-3\right)^2\left(x+3\right)^2=0 \)
\( \left(x-3\right)^4=0 \)
\( \left(x+9\right)\left(x-3\right)\left(x+3\right)=0 \)
2010009706
Level:
A
Find the sum of all the natural roots of the next equation. Multiple roots, if any, count only once.
\[ \left(x^3+8\right)\left(x^2-1\right)=0 \]
\( 1\)
\( -1\)
\( 3\)
\( 0\)
2010009705
Level:
A
Find the sum of all the natural roots of the next equation. Multiple roots, if any, count only once.
\[ \left(x^2+1\right)\left(x^2-16 \right)=0 \]
\( 4\)
\( 3\)
\( 5\)
\( 0\)