naming the polynomials
x5-1
quintic binomial
simplify the expression 4m2- 1- 4m
4m2-4m-1
(a+5)(a-1)
a2+4a-5
Whenever you multiply two or more polynomials...
a. Your answer will be a rational expression
b. Your answer will be degree 2 all the time
c. Your answer will be another polynomial always
d. Your answer will always be constant.
c. your answer will be another polynomial always
simplify (5x2-7)-(3x2-5)
2x2-2
-18x3
3rd degree monomial
simplify the expression 4-2n3+10n5-6n
10n5-2n3-6n+4
(x-12)(x+12)
x2-144
Whenever you add two or more polynomials your answer should be...
a. Another polynomial always
b. A constant always
c.Not necessarily a polynomial all of the time
d.A rational expression
A. Another Polynomial always
simplify the expression -2x(4x2+3x-7)
-8x3-6x2+14x
-12x9+4x6
9th degree binomial
simplify the expression 3-5x-10x2
-10x2-5x+3
(p-6)2
p2-12p+36
how do you multiply trinomials?
a. just count the numbers and add them
b. make a box and give a spot for each variable, then add all alike terms
c. make a box and give a spot to the numbers. The spots are given inside the box and you add the unlike terms
d. all of the above are correct ways to solve a trinomial
b. make a box and give a spot for each variable, then add all alike terms
Simplify (4a3-3a-a)+(2a3+5a2-7a)
6a3+2a2-8a
x3-7x2+2x
3rd degree trinomial
simplify the expression (7-3k3+3k)+(3k+2+2k3)
-1k3+6k+9
(x+10)(x2+5x+6)
x3+15x2+56x+60
(3x2+2x-4)+(x3-2x2+3) is an example of what type of operation of polynomials
addition
simplify (6xyz4)+(5xy3)
30x2y4z4
7
constant monomial
simplify the expression -2n5+4n3-2n2+9-n4
-2n5+4n3-2n2-n4+9
(x2+4x+1)(x2+5x-6)
x4+9x3+15x2-19x-6
(x-3)(x+4) is an example of
Multiplication of polynomials
evaluate 2xy4+4x2y3-9 when x= -1 and y= 3
-63