First, factor out a 3.
3(x² - 9)
In any quadratic ax² + bx + c, we can split the bx term up into two new terms which we want to equal the product of a and c.
In this case, we have x² + 0x - 9. (the 0x is a placeholder)
We want two numbers that add to 0 and multiply to get -9.
Obviously, these numbers are 3 and -3.
Now we have 3(x² + 3x - 3x - 9).
Let's factor.
3(x(x+3)-3(x+3))
<u>3(x-3)(x+3)</u>
There are multiple shortcuts which you could make here, FYI:
Instead of splitting the middle, if your a value is 1, you can go straight to that step (x+number)(x+other number).
Whenever you have a difference of squares, like a²-b², that factors to (a+b)(a-b).
Answer:
x = 1, -2/7
Step-by-step explanation:
You could use the quadratic equation but this can be factored into
(7x + 2) (x - 1). You can verify that by multiplying it out.
Since (7x + 2) (x - 1) = 0, if either factor is 0 then the equation would be equal to 0, thus we get x = 1, -2/7
The propriety is zero propriety. Because 0 times a number is 0
Answer:
Christian will grow more flower as she utilizes all her garden area for the flower growth.
Step-by-step explanation:
Flower growth is difficult process as it involves great care by a gardener. Christian also grows flowers in her three garden which are available to her. She has same size flower which she grows in her garden.
Answer: The number 12 represents admission charge in Mariana's equation.
Step-by-step explanation:
As per given ,
Total cost = ( Charge per ticket) (Number of tickets) + (Admission fees) (i)
For x = Number of tickets, the total cost (c) for a day at the amusement park is given as
(ii)
Here, 12 = Admission fees [Comparing (i) and (ii)]
Hence, the number 12 represents admission charge in Mariana's equation.
