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The function f(x)=2x3−24x2+72x−6 has two critical values. The smaller one equals
and the larger one equals
The function f(x) = 5-5x^4 has an absolute value of what and this occurs at x equals
Differentiate the following function: f(x)=e^x+x^e
How would you convince a child that any number multiplied by 0 is 0, using a

teaching aid.

To solve problem involving arithmetic and geometric sequence and series.


A piece of paper is 0.05mm thick. For ten times, it is folded in half so that it's

thickness is doubled each time. How thick is the results?


Find the sum of all integers in between 100 and 1,000 that are exactly divisible by 7.


A ball is dropped 8m above the ground. On each rebound, the ball rises to one half

of the original height. (a) How high does it go on eight bounce? (b) How far has it

traveled, counting up and down distance only, it hits the floor for the ninth time?


Represent this rational equation through table and graph. identify whether the graph forms a straight line or a curve.


P(x)= x^2+1/x+1
1. 3x² + 2x – 1=0

Ans.


2. x³-27

Ans.


State the possible rational zeros for each polynomial. Then find all rational zeros.

3. P(x) x³ +4x² + 5x + 2

Possible zeros:

Rational zeros:


4. 3x³ + 11x² + 5x – 3

Possible zeros:

Rational zeros:
LET’S TRY THIS!
List all possible rational roots of each polynomial equation.

1. 3x² + 2x – 1=0
Ans.

2. x³-27
Ans.

State the possible rational zeros for each polynomial. Then find all rational zeros.
3. P(x) x³ +4x² + 5x + 2
Possible zeros:
Rational zeros:

4. 3x³ + 11x² + 5x – 3
Possible zeros:
Rational zeros:
2-i5 is an example of _______number
Sean dropped a ball from the top of a building 144 feet high. The height of the ball is represented by the equation h = -16t2 + 144 where t represents the time in seconds. Use factoring to determine how many seconds it takes for the ball to reach the ground.
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