In a quadratic expression, the highest power of \(x\) is \(x^2\). Factorise \(x^2 + 7x + 10\). To factorise this expression, find two numbers that have a product of +10 and a sum of +7. There are a ...

Work out equations and draw graphs with this useful new tool. In Apple's great 2024 software refresh—specifically iOS 18, iPadOS 18, and macOS 15 Sequoia—a new tool called Math Notes was added to the ...

To expand a bracket means to multiply each term in the bracket by the expression outside the bracket. For example, in the expression \(3(m + 7)\), multiply both \(m\) and 7 by 3, so: \(3(m + 7) = 3 ...

Quadratic equations are polynomials, meaning strings of math terms. An expression like “x + 4” is a polynomial. They can have ...

Hilbert's 17th problem concerns expression of polynomials on Rn as a sum of squares. It is well known that many positive polynomials are not sums of squares; see [Re], [D'A] for excellent surveys. In ...