Standard Form/Classifying
Classify the polynomial by the degree and number of terms:
2x3
Degree of 3, Monomial
Add the Polynomials
(4x + 9) +(x - 4)
5x + 5
C = (mv2)/r for m
m = (Cr)/v2
Multiply the Polynomials:
3x2 (2x4)
6x6
Two jets leave Ontario at the same time, one flying east at a speed 20 km/h greater than the other, which is flying west. After 4 h, the planes are 6000 km apart. Find their speeds.
West = 740 km/h
East = 760 km/h
Classify the polynomial by Degree and Number of Terms
5a2 - 6a
Degree of 2, Binomial
Add the polynomials:
(-3a - 2) + (7a + 5)
4a + 3
2ax + 1 = ax + 5 for x
x = 4/a
Multiply the Polynomials:
(-3m)(-4m - 6)
12m2 + 18m
A car started out from Memphis toward Little Rock at the rate of 60 km/h. A second car left from the same point 2 h later and drove along the same route at 75 km/h. How long did it take the second car to overtake the first car?
8 hours
Classify the polynomial by Degree and Number of Terms
-6a4 + 10a3
Degree of 4, Binomial
Add the polynomials:
(x2 +3x + 5) + ( -x2 +6x)
9x + 5
v2 = u2 + 2as for a
a = (v2 - u2)/2s
(-3x2y4)3
-27x6y12
The McLeans drove from their house to Dayton at 75 km/h. When they returned, the traffic was heavier and they drove 50 km/h. If it took them 1 hour longer to return than to go, how long did it take them to drive home?
3 hours
Identify the coefficients in this polynomial
-10k3 + k +1
-10, 1
Subtract the polynomials:
(-x2 - 5) - (-3x2 -x -8)
2x2 + x +3
S = (n/2)(a + 1) for a
a = (2S/n) - 1
(2x4)3(3x3)2
72x18
A rectangle is three times as long as it is wide. If its length and width are both increased by 3 m, its area is increased by 81 m2. Find its original dimensions.
w = 6 m and l = 18 m
What is the degree of a constant?
Zero
Subtract the Polynomials:
(k2 + 6k3 -4) - (5k3 + 7k -3k2)
k3 + 4k2 -7k -4
q = 1 + (P/100) for P
P = (q - 1)100
9n2(1/3 n)4
1/9 n6
A rectangular swimming pool is 10 m longer than it is wide. A walkway 2 m surrounds the pool. Find the dimensions of the pool if the area of the walkway is 216 m2.
w = 20 m and l = 30 m