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

Question

Create an algebraic expression based on the following parameters:

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

Video Solution

Solution Steps

00:00 Convert from parameters to quadratic function
00:03 Convert from parameters to quadratic function
00:17 Connect the parameter to the corresponding variable according to the formula
00:37 Write the function in its reduced form
00:49 And this is the solution to the question

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 .

Answer

4x216x 4x^2-16x