Create an Algebraic Expression with Variables a=4, b=-2, c=16

Create an algebraic expression based on the following parameters:

a=4,b=2,c=16 a=4,b=-2,c=16

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Convert from parameters to quadratic function
00:03 Use the formula to represent a quadratic equation
00:11 Connect the parameter to the corresponding unknown according to the formula
00:29 Write the function in its reduced form
00:38 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=4,b=2,c=16 a=4,b=-2,c=16

2

Step-by-step solution

To solve this problem, we need to form a quadratic expression using the given parameters.

  • Step 1: Identify the given coefficients as follows: a=4 a = 4 , b=2 b = -2 , c=16 c = 16 .
  • Step 2: Use the standard quadratic form ax2+bx+c ax^2 + bx + c .
  • Step 3: Substitute the given values into the quadratic form to get the expression 4x22x+16 4x^2 - 2x + 16 .

Now, let's perform the substitution:

Substituting the values:
a=4 a = 4 : This gives us 4x2 4x^2 .
b=2 b = -2 : This gives us 2x-2x.
c=16 c = 16 : This remains as +16+16.

Thus, the complete quadratic expression is 4x22x+16 4x^2 - 2x + 16 .

Therefore, the solution to the problem is 4x22x+16\boxed{4x^2 - 2x + 16}.

3

Final Answer

4x22x+16 4x^2-2x+16

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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