Add Polynomials
Multiply Polinomials
Exponent Rules
Monomial
Sythetic Division
Mystery?
100
Simplify
(3a - 5) + (5a + 1)
8a - 4
100
Simplify
(2x)2 (2x3)2
16x8
100
* Product Property for exponents is
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
Add the exponents
am * an = am+n
100
Which is not a monomial?
1. -xy
2. 1/2a2
3. 192
4. 3x + 1
4. 3x + 1
100
What is the synthetic divisor for
(2x2 - x + 1) (x - 3)-1
3
100
What is the name of the BAHS mascot?
Ollie
200
Simplify
(3a - 5) - (5a - 1)
(-2a - 4)
200
Simplify
10x2y3(10xy5)
100x3y8
200
Quotient property for exponents is
(a^m)/(a^n) = a^(m-n)
Subtract exponents
200
(24w^3)/(3w^2)
8w
200
What is the synthetic dividend for
(2x3 + 3x2 - x + 1) (x - 3)-1
2 3 -1 1
200
49m2 - 112m + 64
300
Simplify.
(x2 - y2) + (-x2 + y2)
0
300
Simplify
1/(x^0 + y^0)
1/2
300
Negative Power Property is
Move the base to the other side of the division line, and reverse sign.
a^(-m) = 1/(a^m)
1/(a^(-m) = a^m
300
00 = ?
Unefined
300
Solve:
(d^2+4d+3)/(d+1)
(d + 3)
300
,
400
2Simplify.
(6z2 + 4z + 2) - (-7z2 + 4z - 2)
13z2 + 4
400
Simplify:
5(x2y-2)3 (x3)3
5x15 / y2
400
Power to power Property for exponents is
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
(am)n = am*n
400
3[(y2)3 (-y)2 (y)]0
3
400
When you divide polynomials what coefficient is used for missing variables
When using long or synthetic division, substitute 0 for any missing variable positions.
Remember to assemble polynomial in standard form and have every exponent position occupied.
x3 + x becomes x3+ 0x2 + x + 0
400
Find & correct the error
x * x3 * x4 =
= x1 * x3 * x4
= x12
Mistake was, Multiplied exponents, should add the exponents.
because; xa * xb * xc = xa+b+c
500
3Simplify.
(8x2 - 3x3 + 5) - ( x3 + x - 3)
-4x3 + 8x2 - x + 8
500
Simplify:
7[ (y2)2]2
7y8
500
Use Quotient Property to correct negative exponent
((2x)/(3))^-2
((3)/(2x))^2
500
-13
500
If a polynomial is divided by a binomial and the remainder is 0, What does this tell you about the binomial and the polynomial?
The binomial is a factor for the polynomial and therefore, identifies a root for this polynomial.
500
Using negative exponent property show how;
a0 = 1
am * a-m = am + - m = a0 = 1
a4 * a-4 =
((a)(a)(a)(a))/((a)(a)(a)(a)) = 1
900
How do you add or subtract polynomials?
Combine like terms.
900
What happens to x-y as y increases,
when x>1 & y>1?
Also, what happens to x-y as y increases,
when x<1 & y<1?
for x>1 and y>1, x-y decreases
for x<1 and y<1, x-y increases
900
Explain why o-2 is undefined.
We would have a zero in the denominator that makes the expression undefined.
900
Write 3 different expressions that are equivalent to x12
x3 * x9
(x3)4
(x^15)/x^3
900
Show set up using 
3
2 0 -5 40
-6 18 -39
2 -6 13 1