Name the polynomial
8
Constant / Monomial
Add the Polynomials
(4x + 9) +(x - 4)
5x + 5
Subtract the polynomials:
(g - 4) - (3g - 6)
-2g + 2
Multiply the Polynomials:
3x2 (2x4)
6x6
Factor out the GCF
30x-42
6(5x-7)
What are the three methods of solving a system of linear equations?
Graphing, Substitution, Elimination
Name the polynomial
7x2-5x+9
trinomial
Add the polynomials:
(-5x2+3x6+5) + (-5x6-5-3x2)
-2x6-8x2
Subtract the polynomials:
(-5h - 2) - (7h +6)
-12h - 8
Multiply the Polynomials:
(x - 3)(x + 2)
x2 - x - 6
Factor out the GCF
5a3+2a2
a2(5a+2)
What visual test can we perform on a graph to prove it is a function?
Vertical Line Test
Name the polynomial
3x3-6
Binomial
Add the polynomials:
(x2 +3x + 5) + ( -x2 +6x)
9x + 5
Subtract the polynomials:
(-x2 - 5) - (-3x2 -x -8)
2x2 + x +3
Multiply the Polynomials:
(2x-6)2
4x2 -24x +36
Factor out the GCF:
2x2 - 8x
2x(x-4)
Solve for x.
2(x - 1) - 6 = 10(1 - x) + 6
x=2
What is the degree of this polynomial?
2x2+7y+3x5+9
5
Add the polynomials:
(t2 + 3t3 -3) + (2t2 +7t -2t3)
t3 +3t2 +7t -3
Subtract the Polynomials:
(k2 + 6k3 -4) - (5k3 + 7k -3k2)
k3 + 4k2 -7k -4
Multiply the Polynomials:
(4n - 1)(3n + 4)
12n2 + 13n - 4
Factor out the GCF:
6x4y4 + 3x2y
3x2y(2x2y3 + 1)
What is the slope of the line that passes through the points (-5,6) and (5,-2) ?
slope = -4/5
Is this polynomial the sum, difference, or sum & difference of squares?
x2 - 16
Sum & Difference of Squares
Add the polynomials:
(-1 + x2 + 2x) + (1 -2x + 2x2)
3x2
Subtract the Polynomials:
(2x - 3x) - (x2 -2x + 4)
-x2 + x - 4
Multiply the Polynomials:
(d + 3)(d2 - 4d + 1)
d3 - d2 -11d + 3
Factor out the GCF
18n4+42nm+6n
6n(3n3+7m+1)
Solve:
Philip took a taxi to work that charged $2.70 per mile. At the end of the trip, Philip paid the driver a $3.00 tip. If his total was $16.50 for the taxi ride, about how far away was Philip's work?
5 miles