Answer:

Step-by-step explanation:
<u>Polynomials
</u>
a)
The polynomial whose graph is shown is of third degree because it has three real roots. The roots of a polynomial are the values of x that make the expression equal to zero. We can see it happens three times in the graph provided. The roots or zeros are
x=-2, x=1, x=3
b)
The factored form of a polynomial whose roots
are known is

We know the value of the roots, thus the polynomial is written as

We need to find the value of a. We do that by replacing the value of x=0 and finding a that makes f(0)=3 (as seen in the graph). Thus





Thus the factored form of the polynomial is

c)
Let's multiply all the factors





1.( 2x ) ( 10x ) = 20 x²
2. -3m( m + 8 ) = -3m² - 24m
3. 4d( 2d -9 ) = 8d² - 36d
4. ( 3x + 4 ) ( x -2 ) = 3x² - 6x + 4x - 8 = 3x² - 2x -8
<span>
5. ( 2y -1 ) ( 4y - 3 ) = 8y</span>² - 6y - 4y + 3 = 8y² -10y +3
Let x + 1.5 be length of segment above left hand
Let 2x be length of segment below left hand
15 = x + 1.5 + 2x
15 = 3x + 1.5
15 - 1.5 = 3x
13.5 = 3x
13.5/3= 3x/3
4.5 = x
x = 4.5
This is the length above the left hand.
2x must be then 4.5*2 = 9 foot
This is the length below the left hand.
Checking
4.5 + 9 + 1.5 = 15 foot
Adding length below left hand & length of left hand to right hand:
9 + 1.5 = 10.5
The right hand is hence 10.5 foot far up the pole.
Answer:
<u>3n</u> + 21
Step-by-step explanation:
3(n + 7)
~Distribute
3n + 21
Best of Luck!
Rightttt! I hate it but I have no idea haha