The fact that a negative times a negative equals a positive can be proven mathematically using algebraic manipulation. Specifically, it can be proven using the equation x = (a)(b) + (-a)(b) + (-a)(-b), where a and b are ... More »

Algebra 1 focuses on the manipulation of equations, inequalities, relations and functions, exponents and monomials, and it introduces the concept of polynomials. One of the key skills learned in Algebra 1 is the ability ... More »

A positive integer is a whole number greater than zero, and a negative integer is a whole number less than zero. Whole numbers are numbers without any fractions or decimals. These numbers are also called counting numbers... More »

One interesting fact about algebra is that the name originated from the Arabic word "al-jabr." Its history began in ancient Egypt and Babylon. The Persian mathematician Muhammed ibn Musa Al-Khwarizmi is credited as one o... More »

A turnaround fact in math is an addition or multiplication fact for which, if the addends or factors are reversed, the answer is still the same. For example, two plus three equals five, and three plus two equals five. On... More »

When like terms with exponents are multiplied, the number of times the term is multiplied by itself is increased by the additional number of times indicated by the second exponent. Therefore, the product is found by addi... More »

The integral of xln(x) is x squared, times half the ln of x, minus x squared over four, plus a constant. In mathematical notation, the formula looks like the integral of xln(x) dx = x^2(ln(x)/2) - ((x^2)/4) + C, where C ... More »