Crafting an Algebraic Expression with a=3, b=0, and c=1/3

Create an algebraic expression based on the following parameters:

a=3,b=0,c=13 a=3,b=0,c=\frac{1}{3}

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:08 Let's start by changing the parameters into a quadratic function.
00:13 We're going to use the quadratic formula. It helps us represent a quadratic equation.
00:25 Now, match each parameter with the corresponding variable in the formula.
00:44 Next, simplify the function into its reduced form.
01:02 And there you have it! That's how we solve this problem.

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=3,b=0,c=13 a=3,b=0,c=\frac{1}{3}

2

Step-by-step solution

To solve the problem, we need to substitute the given coefficients into the standard form of a quadratic function.

  • Step 1: Identify the coefficients from the problem parameters: a=3 a = 3 , b=0 b = 0 , c=13 c = \frac{1}{3} .
  • Step 2: Substitute these values into the quadratic expression ax2+bx+c ax^2 + bx + c . This gives us 3x2+0x+13 3x^2 + 0 \cdot x + \frac{1}{3} .
  • Step 3: Simplify the expression by removing the term with 0x 0 \cdot x , resulting in 3x2+13 3x^2 + \frac{1}{3} .

Thus, the algebraic expression for the given parameters is 3x2+13 3x^2 + \frac{1}{3} .

3

Final Answer

3x2+13 3x^2+\frac{1}{3}

Practice Quiz

Test your knowledge with interactive questions

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

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

🌟 Unlock Your Math Potential

Get unlimited access to all 18 The Quadratic Function questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations