Find the standard representation of the following function
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Find the standard representation of the following function
To find the standard representation of the function , we'll follow these steps to expand and simplify the expression:
Now, let's expand the expression:
1. Multiply the first terms:
2. Multiply the outer terms:
3. Multiply the inner terms:
4. Multiply the last terms:
Next, we combine these results:
- The term remains as is.
- Add the linear terms:
- The constant term is .
Thus, the expanded and simplified form of the function is:
The final expression in standard form is .
Create an algebraic expression based on the following parameters:
\( a=2,b=2,c=2 \)
Standard form means writing the function as where terms are arranged by decreasing powers of x. This makes it easy to identify the coefficients!
FOIL helps you systematically multiply two binomials without missing any terms. It stands for First, Outer, Inner, Last - the four products you need to find and then add together.
Like terms have the same variable and same power. In this problem, -4x and +x are like terms because both have x¹, so they combine to give -3x.
Double-check your FOIL multiplication and combining like terms! The most common errors are sign mistakes or forgetting to distribute negative signs properly.
Yes! You can use the distributive property twice: distribute (2x+1) to both x and -2, then combine. FOIL is just a organized way to do the same thing.
Try factoring your answer back! If factors to , you know it's right. You can also substitute a test value like x = 1.
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