can u define ??? and give examples??

Question

power, toorts, exponents.
multiplying binomials, factoring and solving quadratic equations

Answer 1

Power and exponent are essentially the same. It means the number of times avariable is to be multiplied by itself. For example x^2 = x*x, x^5 = x*x*x*x*x. 2 and 5 are exponents of x. They are also powers of x. x^2 intext is x squared. x^5 power in text is x raised to the fifth power.

Roots of a given number are those numbers which when multiplied together give you the given number. For example the square root of 25 is +5 and -5 because 5*5=25 and (-5)(-5) = 25. The cube root of 125 is 5 because 5*5*5 = 125. x^1/2 means squareroot of x, x^1/3 means cube root of x, and x^1/n means nth root of x.

(a+b)(a+b) = (a+b)^2 = a^2 +2ab +b^2
(a-b)(a-b) = (a-b)^2 = a^2 -2ab+ b^2
(a-b)(a+b) = a^2-b^2
(a+b)(c+d) = ac+ad+bc+bd
(a+b)(a-c) = a^2 +ab-ac+c^2

x^2 +4x -5 = (x+5)(x-1) =x^2-x+5x-5

All quadratic equations of the form ax^2+bx+ccan be solved using the quadratic formula x = [-b+/-sqrt(b^2-4ac))/(2a)

Answer 2

FOIL Method: multiply First Outer Inner Last
F: (x + 3)(x + 2)
O: (x + 3)(x + 2)
I: (x + 3)(x + 2)
L: (x + 3)(x + 2)

That's all I got, good luck!