Polynomials
Class 10 · Mathematics
3 ideas in Class 10 Mathematics, explained in plain words, with games and quizzes to practise.
Values and Zeroes of Polynomials
Part of: Values and Zeroes of Polynomials
A polynomial's degree is its highest exponent with a nonzero coefficient. A number is a zero when substitution makes the polynomial value zero.
Why it matters. These connections let you read roots from expressions or graphs and check algebraic results.
Try it in two minutes
- Identify the polynomial and its degree.
- Use substitution, a graph, or coefficient relationships to find zeroes.
- Check a proposed zero by evaluating the polynomial.
Try at home. Choose a simple quadratic and test whether two small integers make its value zero.
Graphical Meaning of Zeroes
Part of: Graphical Meaning of Zeroes
A zero is the x-coordinate where a polynomial graph meets the x-axis. A quadratic graph may intersect twice, touch once, or miss the axis.
Why it matters. These connections let you read roots from expressions or graphs and check algebraic results.
Try it in two minutes
- Identify the polynomial and its degree.
- Use substitution, a graph, or coefficient relationships to find zeroes.
- Check a proposed zero by evaluating the polynomial.
Try at home. Choose a simple quadratic and test whether two small integers make its value zero.
Zeroes and Coefficients
Part of: Zeroes and Coefficients
For a quadratic ax² + bx + c, the sum of zeroes is −b divided by a and the product is c divided by a. Cubic zeroes also relate to coefficients.
Why it matters. These connections let you read roots from expressions or graphs and check algebraic results.
Try it in two minutes
- Identify the polynomial and its degree.
- Use substitution, a graph, or coefficient relationships to find zeroes.
- Check a proposed zero by evaluating the polynomial.
Try at home. Choose a simple quadratic and test whether two small integers make its value zero.
What your child will practise
- Graphical Meaning of Zeroes: Jungle Quick Fire (Quick Fire)
- Graphical Meaning of Zeroes: Space Puzzle (Clue Puzzle)
- Values and Zeroes of Polynomials: Candy Quick Fire (Quick Fire)
- Values and Zeroes of Polynomials: Number Quest (Match It Up)
- Zeroes and Coefficients: Mission Control Quest (Collect the Answer)
- Quiz: Graphical Meaning of Zeroes (8 questions)
- Quiz: Values and Zeroes of Polynomials (8 questions)
- Quiz: Zeroes and Coefficients (8 questions)