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Title: Algebra for Beginners | Basics of Algebra
Description: Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics.
Description: Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics.
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Algebra for Beginners | Basics of Algebra
● algebra means balancing and restoring, but that 's a little bit boring
and to us what does that mean so far well it means nothing really
...
before you get to algebra
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There you 're just kind of doing arithmetic
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We have new things called
variables or unknowns that we represent with letters
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if you have to
memorize the different kinds of numbers for a class
...
real numbers are
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Finally, we get to the complex numbers which are just
real numbers with imaginary numbers
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the real number line has this property that every number
is there There are no holes or jumps or gaps in it
...
9 plus 8 is 17 and so we can see the associative
property
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In the next video we 'll see
that subtraction is not associative and we'll see how that works
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You like these
two properties seem simple but they 're really important so they 'll be
good to know okay see in the next video
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The main point here is that we can use all of our rules to simplify that
net multiplication
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We can rearrange this any way
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Let 's put the 13s together and the 47s together
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So not only put them next to each other, but let's
actually group them
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Really basic
stuff
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subtraction can be confusing with the order of operations
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There 's something we
...
when we think of subtraction as addition of a
negative number, we get commutativity back because we 're turning it
into addition
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So now we have negative
2 plus 6
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● We 'll talk about factoring with the rational roots test and synthetic
division and things like that but for now we 're just gon na group it so
how does that work well
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this will be x cubed plus 6x
squared plus and then minus 4x minus 24
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We just decided to group these into pairs
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It 's
really not factoring it out it's always been there
...
So we factor that out so this becomes 3x
squared plus one x by x plus three and that 's as simple as we can
get this
...
Title: Algebra for Beginners | Basics of Algebra
Description: Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics.
Description: Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics.