Polynomials And Exponents

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Polynomials and Exponents positive + positive = positive
Positive+ negative = negative
Negative + negative = positive
2 x2 =22
Expanded Form- 2 x 2
Exponential Form- 22
24 Exponent Base is the identical factor, and the exponent tells how many factors there are. Base
Powers are useful to express repeated multiplication.
Power sometimes appear in formulas, then follow the correct order of operation
Order of operation- Bedmas
B: Brackets
E: Exponents
D: Division
M: Multiplication
A: Addition
S: Subtraction

Multiplying = ya x yb = ya+b
Dividing = ya x yb = ya-b
Dividing = (ya)b = ya x b

Polynomials
When collecting like terms: group or identify like terms add or subtract like terms only apply integer rules to the coefficients of like terms do not change the variable part

Distributive property: the distributive property allows you to expand algebraic expressions: a(x +y) =ax + ay when distributing, multiply the monomial by each term in the polynomial multiply numerical coefficient apply exponent laws to variables

Equations to solve an equation means to find the value of the variable that makes the statement true. This is also called finding the root of the equation to solve one- step equation, and isolate the variable using BEDMAS in a two-step equation, there is more than one term on one side so isolate the variable term first by adding or subtracting. Then divide by the coefficient of the variable term

E.G. 2x - 7 =9
2x -7 -7 =9 +7 2x = 16 2x = 16 2 2 check a solution to an equation by subsituting the root into the left side and the right side of the equation. Both sides must be equal

For examples above:
Substitute x = 8

L.S =2(8) -7 = 19-7 =9

R.S= 9

to solve an equation involving multiple terms, collect variable terms on one side of the equation and constant terms on the other to solve an equation involving brackets, you may need to expand the brackets first check a solution by substituting the root into the left side and