Match the task to the input
Algebra 2 covers more than one kind of problem. A quadratic asks for roots; a polynomial product asks for a new expression; factoring asks for a product representation. Start with the requested output, not the size of the coefficients.
The current toolkit supports expanded linear equations, quadratic coefficients, bounded polynomial arithmetic and rational factoring through degree two. It does not implement systems of equations, matrices or general symbolic logarithmic equations.
Use a small check case
For an equation, substitute a proposed root into the original. For a product, expand the factors and compare coefficients. For a simplification, verify that excluded denominator values are not lost.
A tool can reject a syntactically valid textbook expression because its supported grammar is narrower. Rewrite into the documented input form; do not discard terms to make the input fit.
Keep exact forms when they help
A root such as √2 is exact; 1.4142 is a rounded decimal. If the next step involves algebra, an exact form may preserve relationships that a rounded display hides. This toolkit returns numerical quadratic roots rather than exact radicals, so retain your original equation alongside the output and avoid treating displayed digits as an exact identity.
LET’S WORK IT THROUGH
Find the roots of x² − 9 = 0.
- Recognize a quadratic with a = 1, b = 0, c = −9.
- Factor as (x − 3)(x + 3) = 0.
- Set each factor equal to zero.
THE ANSWERx = −3 or x = 3.
YOUR TURN
A small check for understanding.
Which tool combines (x + 1) and (x − 1) into a product?
Reveal the answer
The Polynomial calculator in Multiply mode; enter the two expanded factors separately.
Now try your own numbers.
The solve for x includes input guidance and the limits of its supported calculations. Use it alongside the method above.
Open Solve for x ↗A note on precision: preserve exact fractions where possible and round numerical results at the end. Found an unclear step? Prepare a correction report.