Specific Algebra Task: Create an Expression with a = -3, b = 15, c = 0

Create an algebraic expression based on the following parameters:

a=3,b=15,c=0 a=-3,b=15,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
00:11 We'll connect each parameter to its corresponding variable according to the formula
00:31 We'll write the function in its reduced form
00:37 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=3,b=15,c=0 a=-3,b=15,c=0

2

Step-by-step solution

To solve this problem, we will follow these steps:

  • Step 1: Substitute the given values a=3 a = -3 , b=15 b = 15 , and c=0 c = 0 into the quadratic formula ax2+bx+c ax^2 + bx + c .
  • Step 2: Simplify the expression, removing any terms where the coefficient is zero.

Let's apply these steps:

Step 1: Start with the standard form of a quadratic expression ax2+bx+c ax^2 + bx + c . Given a=3 a = -3 , b=15 b = 15 , and c=0 c = 0 , substitute these values:

y=3x2+15x+0 y = -3x^2 + 15x + 0

Step 2: Simplify the expression:

The term +0 +0 can be removed because it does not affect the value of the expression, leading to:

y=3x2+15x y = -3x^2 + 15x

Thus, the algebraic expression based on the parameters provided is 3x2+15x -3x^2 + 15x .

Among the given choices, the correct choice is:

  • Choice 4: 3x2+15x -3x^2 + 15x
3

Final Answer

3x2+15x -3x^2+15x

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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