Answer:
A polynomial function that meet those conditions is x² + x - 2 = 0
Step-by-step explanation:
Hi there!
To solve this problem, let´s start writting a generic polynomial function in factored form. Since the function has two zeros, the factored form will have 2 terms:
(x+a)(x+b) = 0
For this equation to be 0, (x+a) or (x+b) have to be zero:
Then:
x + a = 0 ⇒ x = -a
In the same way:
x + b = 0 ⇒ x = -b
Then, the values "a" and "b" are equal to the zeros of the function but with the opposite sign.
In our case:
(x + a)(x + b) = 0
a = the zero of the function with opposite sign, that is, 2
b = -1
Then:
(x + 2)(x - 1) = 0
Apply distributive property:
x² - x + 2x - 2 = 0
x² + x - 2 = 0
Then, a polynomial function that meet those conditions is:
x² + x - 2 = 0
I dont understand but here is a example how it may look like.
<span>In order to safely aid the traffic flow in the U.S roadways a driver should stay to the right lane if you are traveling slower than other cars. You should never try to keep up with faster traffic over the speed limit nor stay to the left. The left lane is used for faster and passing traffic. By staying to the right, you let the faster cars pass you safely. The correct answer should be B.</span>
Answer:
The correct option is First. i.e <u>consistent.</u>
The System shown is <u>consistent.</u>
Step-by-step explanation:
Consistent:
A consistent system of equations is a system that has at least one solution.
Our System in graph has only and only ONE solution that is on X-axis
Where the lines are intersecting each other.
Hence, The System shown is <u>consistent.</u>
Inconsistent:
An inconsistent system of equations is a system that has no solution.
Equivalent:
Systems of equations that have the same solution are called equivalent systems. Given a system of two equations, we can produce an equivalent system by replacing one equation by the sum of the two equations, or by replacing an equation by a multiple of itself.
