Create Algebraic Expressions: Using a=4, b=-16, c=0

Create an algebraic expression based on the following parameters:

a=4,b=16,c=0 a=4,b=-16,c=0

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:08 Let's convert the parameters into a quadratic function.
00:12 We start by associating each parameter with the right variable using the formula.
00:25 Now, let's write our function in its simplest form.
00:45 And that's how we find the solution to this 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=16,c=0 a=4,b=-16,c=0

2

Step-by-step solution

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

  • Step 1: Formulate using the standard quadratic expression template.
  • Step 2: Substitute the given parameters.
  • Step 3: Simplify the resultant expression.

Now, let's work through each step:

Step 1: We use the standard form of a quadratic expression, which is ax2+bx+c ax^2 + bx + c .

Step 2: Substitute the values a=4 a = 4 , b=16 b = -16 , and c=0 c = 0 into this template:

ax2+bx+c4x216x+0 ax^2 + bx + c \rightarrow 4x^2 - 16x + 0

Step 3: Simplify the expression:

The expression simplifies to 4x216x 4x^2 - 16x .

Thus, the algebraic expression based on the given parameters is 4x216x 4x^2 - 16x .

Checking against the answer choices, the correct choice is: 4x216x 4x^2 - 16x .

3

Final Answer

4x216x 4x^2-16x

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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