1. Polynomial a mathematical expression that is the sum of a number of terms 2. Quadratic Equa- tions a function in the form: f(x) = ax² + bx + c = 0, a`0. 3. cubic equation a polynomial equation with a term of degree 3 as its term of highest degree 4. Rational polyno- mial expres...
1 polynomial a mathematical expression that is the sum of a number of terms 2 quadratic equa tions a function in the form fx ax² bx c 0
a0 3 cubic equation a polynomial e
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Algebra
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1. Polynomial a mathematical expression that is the sum of a
number of terms
2. Quadratic Equa- a function in the form: f(x) = ax² + bx + c = 0, a`0.
tions
3. cubic equation a polynomial equation with a term of degree 3 as
its term of highest degree
4. Rational show the ratio of two polynomials. It means both
polyno- mial the nu- merator and denominator are
expression polynomials in it. Just like a fraction, it is also a
ratio of algebraic expression, which consists of an
unknown variable. Although with the help of a
calculator, we can simplify this kind of
expression.
5. Trigonometric
Equations If a number is attached to the x, then
divide/multiply the answer to what it is without the
number along with 2pi
If there is more besides just that function, use
6. How to solve double angle form
algerbric equa-
tions Consider the following situation. I am going on a trip
In one bag I carry some t-shirts, shorts, and towels.
A total of 8 items can fit in the bag. So I pack 4
shirts and 2 shorts.
How many towels can I now carry?
Consider the number of towels to be 'x'. Let's form
the equation now.
4 shirts + 2 shorts + 'x' towels = 8 clothes
7. 4+2+x=8 The left-hand side (LHS) of our equation is
being com- pared to the right-hand side (RHS)
6+x=8 of the equation.
6+x-6=8 6
1/
, Algebra
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carry 2
towels for my trip.
In the same
way, what would
depict an
inequality? Obvi-
ously, when the
left-hand side is
not equal to the
right-hand side.
How would this
happen?
2/
, Algebra
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https://quizlet.com/_cegiwt
Let's take the same 6 + x = 8 and change that
x=2 equal to into a greater than or a lesser than sign.
These aren't equa- tions! Consider some
examples to clarify this concept.
x + 2 = 21, xy + 9 = z are equations but 6p >
8. Q.1: Simplify
the given 77 is not. Solution:
equation :
2x+2×4+3x-3×5-2y=0 (Using Distributive
property to get rid of parenthesis)
2x+8+3x-15-2y=0 (Simplifying)
5x-2y-7=0 (on further simplifying terms)
9. Q.2: Solve x + 1 Solution: Given, x+1 = 9
=9
If we bring 1 from LHS to RHS, then the sign of 1 wi
get change.
x=9-1
x=8
10.Q.3: Solve 15 + Solution: Given, 15 + 5x
5x
= 0. = 0 We need to solve
for x here.
Let the term with x remain on the LHS and move
the rest terms to the RHS.
5x = 0 - 15
3/
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