Mathematical Concepts: Quarter 1 to Quarter 4

When a tangent and a secant intersect a circle, the measure of the angle formed is half the difference of the intercepted arcs. For instance, if a tangent and secant intersect outside a circle, and the far arc measures 120 degrees and the near arc measures 40 degrees, the angle formed is calculated as 1/2 * (120 - 40) = 40 degrees.

A number pattern is also known as a sequence, where each number is considered a term. An example sequence provided is 1, 2, 4, 7, 11, incrementing by 1, 2, 3, 4 respectively to get the next term.

The process for dividing polynomials involves arranging the dividend and divisor by decreasing powers of exponents, dividing the first term of the dividend by the first term of the divisor to get a partial quotient. This partial quotient is then multiplied by the divisor, and the result is subtracted from the dividend. The next term is brought down, and the process repeats until completion. An example of polynomial division is provided: (x^3 + 3x^2 - x - 3) divided by (x - 1) resulting in x^2 + 4x + 3 with a remainder of 0.

Permutation refers to the arrangement of elements in a specific order. The number of ways to arrange 'n' distinct items is given by 'n!' (n factorial). For example, arranging 5 people in a row can be done in 5! = 5 x 4 x 3 x 2 x 1 = 120 ways.