Craft an Algebraic Expression with Given Constants: a=5, b=3, c=-4

Create an algebraic expression based on the following parameters:

a=5,b=3,c=4 a=5,b=3,c=-4

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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
00:10 Connect the parameter to its corresponding variable according to the formula
00:26 Write the function in its reduced form
00:33 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Create an algebraic expression based on the following parameters:

a=5,b=3,c=4 a=5,b=3,c=-4

2

Step-by-step solution

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

  • Step 1: Identify the general form of the quadratic expression.
  • Step 2: Substitute the given values a=5a = 5, b=3b = 3, and c=4c = -4 into the quadratic form.
  • Step 3: Write down the resultant expression.

Now, let's work through each step:
Step 1: The general form of a quadratic expression is ax2+bx+cax^2 + bx + c.
Step 2: We are given a=5a = 5, b=3b = 3, and c=4c = -4. Substituting these into the expression, we get:

5x2+3x45x^2 + 3x - 4

Therefore, the solution to the problem is 5x2+3x45x^2 + 3x - 4.

3

Final Answer

5x2+3x4 5x^2+3x-4

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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