Algebra

• Constant - any real number
• Variable - a letter that represents a number.
• Coefficient of the factor - a factor of the product.
• Constant coefficient - a constant number in front a variable.
• Algebraic expression - constant, variable, or combination of variables and constants involving a finite number of indicated operations.
• Polynomial - an algebraic expression involving only non-negative integer exponents of one or more variables and contains no variable in the denominator
• Term of polynomial - a constant or a constant multiplied by a nonnegative integer exponents of variables.
• Monomial - polynomial with one term
• Binomial - poynomial with two terms
• Trinomial - polynomial with three terms
• Degree of a term - sum of the exponents
• Degree of a polynomial -highest degree/power in the polynomial
• Function - set of ordered pairs (x,y) such that no two distinct pairs have the same first numbers.
• Vertical Line Test - states that the graph of a function can only be intersected by a vertical line at one point
• Domain - set of all admissible values of x in a function
• Range - set of all resulting values of y.
• Function f(x) is a polynomial.

  Domain : all real number
• Function f(x) is a rational function.

  Domain : set of all real numbers except the zeroes of the divisor.
• Function f(x) is a radical function (square root).

  Domain: all real numbers
• Function f(x) is a radical function (cube root)

  Domain : all values of x or which the radicand ≥ 0
• (f + g) (x)

  • f = 8
  • g = 7
  • x = 3

  Answer = 45
• (f-g) (x)

  • f = 8
  • g = 7
  • x = 3

  Answer = 3
• Formula of perfect square binomial

  (a ± b)^2 = a^2 ± 2ab + b^2
• Difference of two squares

  (a-b)(a+b) = a^2 - b^2
• Sum of two cubes

  (a+b)(a^2-ab+b^2) = a^3 + b^3
• Difference of two cubes

  (a-b)(a^2+a+b^2) = a^3-b^3
• Find the factors of the expression

  x^8 - 81y^16

  Answer = (x-2y^2)(x+2y^2)(x^2+4y^4)(x^4+16y^8)
• Synthetic Division - a technique sed in dividing rational expression with binomial divisiorsnd finding zeroes of polynomials.
• X-axis and Y-axis - horizontal and vertical lines in the Cartesian plane passing through the origin.
• Abscissa - the x position of a point in the coordinate plane.
• Ordinate - the y position of a point in the coordinate plane.
• x-intercept - the abscissa of the point where the line intersects the x-axis.
• y-intercepts - ordinate of the point where the line intersects the y axis
• System of linear equations - set of linear equations with unknown variables.
• Quadratic functions - polynomial functions hose degree is 2.
• Remainder Theorem - when the function f9x) s divided by x-r the remainder is equal to f(r)
• Factor Theorem - when the remainder f dividing f(x) y (x-r) is zero, then (x-r) is a factor of f(x)
• Rational Root Theorem - the list of all possible roots of a given function.
• Inclusive Inequality - Inequalities that involve symbols ≤ and ≥. The graph of the solution set contains a closed circle

  
• Exclusive Inequalities - Inequality which involves he symbols < and >. the graph of the solution set contains open circle or hole.