If you know that -2 is a zero of f(x) = x^3 + 7x^2 + 4x - 12, explain how to solve the equation.
First you have to figure out what could make f(x) = 0 to get rid of the cube. I'm going to test the array of data, x = -2, x = -3, and x = -4 because this type of equation probably has more negative values given that if you plug in some values the cubed-values and squared-values will surpass the "-12". Plug this into a calculator.
x^3 + 7x^2 + 4x - 12
f(-2) = -8 + 28 - 8 - 12 = 0
So you know that when x = -2, f(x) = 0. Divide "(x + 2)" from the equation and you will get... x^2 + 5x - 6. Now this is a simple polynomial one that you can figure to be (x + 6) (x - 1) just by looking at it because -6 multiplied by 1 is negative 6 and you see 5 and know that 6 - 1 = 5.
The solution is (x + 6) (x - 1) (x + 2) meaning that when x = -6, 1, or -2, f(x) is 0.
Given that following incomplete deposit slip:
<span>Description Amount ($)
Cash, including coins $150.75
Check 1 $564.81
Check 2 $2,192.43
Check 3 $4,864.01
Subtotal $7,772.00
Less cash received ($721.50)
Total $7,050.50
Therefore, the amount of cash the person who filled out this deposit slip received is $721.50
</span>
Final Answer: 
Steps/Reasons/Explanation:
Question: Which expression is equivalent to 
<u>Step 1</u>: Expand by distributing terms.
× 
× 
<u>Step 2</u>: Simplify × 
to 
.
×
<u>Step 3</u>: Simplify 
× to 
.
<u>Step 4</u>: Remove parentheses and add.
~I hope I helped you :)~
