Polynomials
2x+2
f(x) = x3+ x2 − 5x − 6 at x = 2
−4
f(x) = x2 – 529
-23 and 23
Sara goes to Fredonia University. She has $900 in her savings account. She needs to buy a small laptop computer before the next semester. The laptop costs $600. Every 2 weeks she withdraws $60 from her savings account for food. How many times can Sara withdraw money for food? Write an inequality to explain.
900 - 60 t > 600
Answer = 5 times or $300
(-4x2 + 7x) - (4x2 + 5x)
-8x2 + 2x
f(a) = a3 + 3a2 + 2a + 8 at a = −3
2
(x) = x2 + 8x + 15
-3 and -5
You want to rent a limousine for a trip to the city. The limo costs $700 for the night and $0.15 per mile. You have $750 to spend. Write an inequality that represents this scenario. How many miles can the limo travel?
0.15m + 700 < 750
m < 333.33 miles
(2v² + 5v - 8) + (-9v² + 3v - 6)
-7v² + 8v - 14
f( a) = a3 + 5a2 + 10a + 12 at a = −2
4
f (x)= x2 + 2x – 8
2 and -4
A boat can hold at max 1000 lbs. If there are 300 lbs of equipment plus 25 lb boxes, what is the maximum number of boxes the ship can carry?
1000 < 300 + 25x
28 boxes
(14 + 12a3) + (17a4 + 15 − 5a3)
17a4 + 7a3 + 29
f(a) = a4 + 3a3 − 17a2 + 2 a − 7 at a = 3
8
f(x) = x2 + 3x
0 and -3
A hotel costs $100 per night plus a $35 hotel fee. If George has $500, what is the maximum number of nights he can stay?
4 nights
(20n + 11n4) − (15n + 16n2− 17n4)
28n4−16n2+5n
f(x) = x5 − 47x3 − 16x2 + 8x + 52 at x = 7
10
f(x) = 4x2 + 17x – 15
3/4 and -5
frank is taking a taxi from his house to a concert. The cost of the taxi is .50/mile plus Frank would leave a $7 tip. If Frank wants to spend under $15, how many miles can he ride in the taxi to stay within his budget
.50x+7 < or equal to 15
16 miles