Formulate an Algebraic Expression: Use Parameters a=1, b=-1, c=3

Create an algebraic expression based on the following parameters:

a=1,b=1,c=3 a=1,b=-1,c=3

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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
00:20 We'll connect each parameter to its corresponding variable according to the formula
00:46 We'll write the function in its reduced form
01:04 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=1,b=1,c=3 a=1,b=-1,c=3

2

Step-by-step solution

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

  • Step 1: Identify the provided coefficients for the expression of the form ax2+bx+c ax^2 + bx + c .
  • Step 2: Substitute the provided values into the expression.

Now, let's perform these steps:

Step 1: The problem provides us with the coefficients a=1 a = 1 , b=1 b = -1 , and c=3 c = 3 for a quadratic expression ax2+bx+c ax^2 + bx + c .

Step 2: Substitute these values into the quadratic expression:

a=1 a = 1 : Multiply x2 x^2 by 1 1 , resulting in x2 x^2 .

b=1 b = -1 : Multiply x x by 1-1, resulting in x-x.

c=3 c = 3 : The constant term is 3 3 .

Thus, the algebraic expression is:

x2x+3 x^2 - x + 3 .

Comparing this result to the given choices, we find that this expression matches choice 3.

Therefore, the solution to the problem is x2x+3 x^2 - x + 3 .

3

Final Answer

x2x+3 x^2-x+3

Practice Quiz

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

\( 4x^2+9x-2 \)

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