Craft an Expression Using Variables: Where a=0, b=1, c=0

Create an algebraic expression based on the following parameters:

a=0,b=1,c=0 a=0,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 Let's use the formula to represent a quadratic equation
00:11 Connect the parameter to its corresponding variable according to the formula
00:29 Write the function in its reduced 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=0,b=1,c=0 a=0,b=1,c=0

2

Step-by-step solution

To solve this problem, we'll use the following steps:

  • Step 1: Substitute a=0 a = 0 , b=1 b = 1 , c=0 c = 0 into the quadratic equation y=ax2+bx+c y = ax^2 + bx + c .
  • Step 2: Simplify the expression based on these substitutions.

Working through these steps:

Step 1: Start with the expression y=ax2+bx+c y = ax^2 + bx + c .

Since a=0 a = 0 , then ax2=0x2=0 ax^2 = 0 \cdot x^2 = 0 .
Since b=1 b = 1 , then bx=1x=x bx = 1 \cdot x = x .
Since c=0 c = 0 , then c=0 c = 0 .

Step 2: Plug these values into the equation:

The expression simplifies to:

y=0+x+0 y = 0 + x + 0

Thus, the simplified algebraic expression is y=x y = x .

Therefore, the solution to the problem is x x .

3

Final Answer

x 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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