Crafting an Algebraic Expression Using the Parameters a = -1, b = 1, c = 0

Create an algebraic expression based on the following parameters:

a=1,b=1,c=0 a=-1,b=1,c=0

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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
00:14 Connect the parameter to the corresponding variable according to the formula
00:32 Write the function in its simplified form
00:43 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=0 a=-1,b=1,c=0

2

Step-by-step solution

To determine the algebraic expression, we start with the standard quadratic function:

y=ax2+bx+c y = ax^2 + bx + c

Given the values:

  • a=1 a = -1
  • b=1 b = 1
  • c=0 c = 0

We substitute these into the formula:

y=(1)x2+1x+0 y = (-1)x^2 + 1x + 0

Simplifying the expression gives:

y=x2+x y = -x^2 + x

Thus, the algebraic expression, when these parameters are substituted, is:

The solution to the problem is x2+x \boxed{-x^2 + x} .

3

Final Answer

x2+x -x^2+x

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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