Create an Algebraic Expression: Using Parameters a=1, b=2, c=0

Question

Create an algebraic expression based on the following parameters:

a=1,b=2,c=0 a=1,b=2,c=0

Video Solution

Solution Steps

00:00 Convert the parameters to a quadratic function
00:03 We will use the formula to represent a quadratic equation
00:09 We will connect the parameter to the corresponding variable according to the formula
00:27 We will write the function in its reduced form
00:34 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information
  • Step 2: Apply the standard quadratic formula
  • Step 3: Perform the substitution

Now, let's work through each step:
Step 1: We are given a=1a = 1, b=2b = 2, and c=0c = 0.
Step 2: We'll use the formula y=ax2+bx+cy = ax^2 + bx + c to form our expression.
Step 3: By substituting the given values, we get:

  • Replace aa with 1: 1x2=x21x^2 = x^2.
  • Replace bb with 2: 2x=2x2x = 2x.
  • Replace cc with 0: since c=0c = 0, it does not contribute to the expression, so we can omit this term.

Therefore, we combine the terms to form the expression: x2+2xx^2 + 2x.

The correct answer choice based on our derived expression is: x2+2xx^2 + 2x.

Answer

x2+2x x^2+2x