The article analyzes decomposition of the real quadratic form and Hermite quadratic form, and ascertain the condition which the real quadratic form and Hermite quadratic form can separate the product of two linear polynomials.

• 摘要分析了实二次齐式和厄米特齐式的分解因式，并确定了实二次齐式和厄米特齐式能分解为两个一次因式乘积的条件。