Crafting an Algebraic Expression: Using a=4, b=0, c=2

Create an algebraic expression based on the following parameters:

a=4,b=0,c=2 a=4,b=0,c=2

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Convert the parameters to a quadratic function
00:03 We'll use the formula to represent a quadratic equation
00:09 Connect the parameter to its corresponding variable according to the formula
00:26 Write the function in its reduced form
00:37 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Create an algebraic expression based on the following parameters:

a=4,b=0,c=2 a=4,b=0,c=2

2

Step-by-step solution

To solve this problem, we need to create a quadratic expression using the given parameters.

  • Step 1: Identify the quadratic function format: y=ax2+bx+c y = ax^2 + bx + c .
  • Step 2: Substitute the given values a=4 a = 4 , b=0 b = 0 , and c=2 c = 2 into the formula.
  • Step 3: The expression becomes y=4x2+0x+2 y = 4x^2 + 0x + 2 .
  • Step 4: Simplify the expression by removing the term with the zero coefficient: y=4x2+2 y = 4x^2 + 2 .

Therefore, the solution to this problem is 4x2+2 4x^2 + 2 .

3

Final Answer

4x2+2 4x^2+2

Practice Quiz

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What is the value of the coefficient \( b \) in the equation below?

\( 3x^2+8x-5 \)

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