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'll follow these steps:
Now, let's perform these steps:
Step 1: The problem provides us with the coefficients , , and for a quadratic expression .
Step 2: Substitute these values into the quadratic expression:
: Multiply by , resulting in .
: Multiply by , resulting in .
: The constant term is .
Thus, the algebraic expression is:
.
Comparing this result to the given choices, we find that this expression matches choice 3.
Therefore, the solution to the problem is .
What is the value of the coefficient \( b \) in the equation below?
\( 3x^2+8x-5 \)
a is the coefficient of x², b is the coefficient of x, and c is the constant term. They must stay in this exact order!
When the coefficient is negative, we simplify the expression. +(-1)x becomes -x for cleaner notation. Both mean the same thing mathematically.
When the coefficient is 1, we typically don't write it. So 1x² becomes just . This makes the expression cleaner and easier to read.
Absolutely! The parameters a, b, and c can be any real numbers - positive, negative, fractions, or decimals. The substitution process works exactly the same way.
Check that your expression has the form and verify each coefficient matches:
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