A friend of mine gave me this algorithm to solve. I wonder if the methods below can be applied to it.

P(x) is a cubic polynomial
P(-3)=P(-1)=P(2)=0 and P(0)=6, find P(x)

11 Perfect Square Numbers from 1-100 ( Memorize them!)

0

1

4

9

16

25

36

49

64

81

100

—

FOIL

First

Outside

Inside

Last

Find the product of (2x+1)squared

First, write the expression out in long hand:

(

2x+1)(

2x+1)

(2x)(2x)

First

Then the outside term

(2x+1)(2x+1)

(2x)(2x)+(2x)(1)

outside

Then is the inside terms

(2x+1)(2x+1)

(1)(2x)

inside

and then the last terms

(2x+1)(2x+1)

ax(squared)+bx+c

The plus by the “c” constant mean that the signs of factors will be the same

(+)(+)

(-)(-)

If there is a minus by the “c” constant, the signs of the factors will be different.

ax(squared)+bx–c

On positive or one negative

(+)(-)

(-)(+)

—

ALGEBRA 1

Functions:

f(x) stands for function of x. Or shortened: F of X

F of X is another way of saying y in a function.

f(x)= y

Know when an algebra problem is trying to fool you. There is a method of writing functions properly

y = 3x+4

y = 3x+4<— That expressed Y as a function of X Another way of writing this is: y= f(x)= 3x-4 or f of x : f(x)= 3x+4 This is how you'll see functions represented most often. It's called the STANDARD FORM for expressing a function. Functions are easiest to recognize and deal with when they are in standard form. Most of algebra is concerned with putting functions that are not in standard form into standard form! You'll need to be really familiar with this kind of relation. Terms When algebraic expressions are made up of parts that are added and subtracted. Each part is called a term. Terms are always separated by + or – signs.

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