Completing the Square

Completing the square rewrites a quadratic $ax^{2}+bx+c$ in the form $a(x+p)^{2}+q$. It works by forming a perfect square from the $x$-terms and adjusting the constant.

This method reveals the maximum or minimum point directly and can solve any quadratic equation.

You meet Completing the Square in the Quadratic Functions chapter of SPM Additional Mathematics. Knowing the term precisely matters in the exam: questions often hinge on reading a keyword correctly, and because SPM marking is analytic, using the right definition in your working helps secure method marks.

Our teachers make sure a student can not only recite what Completing the Square means but use it fluently in a full solution.

Because the SPM Add Math paper is bilingual (BM/EN), it helps to know this term in each language: Completing the Square (EN) · Penyempurnaan Kuasa Dua (BM) · 配方法 (中文)

Other key terms from the Quadratic Functions chapter you may want to check:

• Quadratic Equation
• Discriminant
• Roots of a Quadratic Equation
• Axis of Symmetry
• Vertex Form
• Quadratic Inequality