Polynomial Equation(10點)

2009-04-13 7:50 pm
1.
Solve 3t^2+5t-12=0

2.
A pebble is dropped from a bridge into a river. Its height,
h metres, above the river t seconds after it is released it
modelled by the function h(t)=65-4.9t^2. How high is the
pebble after 2s?

3.
What is the remainder when x^3+4x^2-8x-6 is divided by
x+5?

Show your work..
thanks

回答 (1)

2009-04-13 8:14 pm
✔ 最佳答案
1.
3t2 + 5t - 12 = 0
(3t - 4)(t + 3) = 0
t = 4/3 or t = -3


2.
h(t) = 65 - 4.9t2

When t = 2:
h(2) = 65 - 4.9(2)2
h(2) = 45.4

Ans: Its height is 45.4 m above the river.


3.
Let f(x) = x3 + 4x2 - 8x - 6

The remainder when f(x) is divided by (x + 5)
= f(-5)
= (-5)3 + 4(-5)2 - 8(-5) - 6
= 9
=


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