Create an algebraic expression based on the following parameters:
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Create an algebraic expression based on the following parameters:
To solve this problem, we will follow these steps:
Let's apply these steps:
Step 1: Start with the standard form of a quadratic expression . Given , , and , substitute these values:
Step 2: Simplify the expression:
The term can be removed because it does not affect the value of the expression, leading to:
Thus, the algebraic expression based on the parameters provided is .
Among the given choices, the correct choice is:
What is the value of the coefficient \( b \) in the equation below?
\( 3x^2+8x-5 \)
The standard form gives us a consistent way to organize quadratic expressions. The coefficients a, b, and c tell us important information about the parabola's shape and position.
When c = 0, there's no constant term! This means the parabola passes through the origin (0,0). You can simply leave out the +0 part in your final expression.
Yes! Standard form requires this specific order. It makes expressions easier to read and compare. Always write highest degree term first: .
Keep the negative sign with its coefficient! In our example, a = -3 stays as . Don't change it to or you'll have the wrong expression.
Compare your simplified expression to each choice carefully. Look for the exact same coefficients and make sure no unnecessary terms (like +0) are included in the final answer.
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