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dezoksy [38]
3 years ago
12

Choose the correct classification of 3x^4 − 9x^3 − 3x^2 + 6.

Mathematics
2 answers:
aliina [53]3 years ago
6 0
It's a 4th degree polynomial since the largest degree (exponent) is 4
djverab [1.8K]3 years ago
5 0
3x^4 - 9x^3 - 3x^2 + 6

when ur polynomial has only one variable, which this one does, it only has one variable and it is x, then the degree of the polynomial is the highest exponent. Now if u have more then one variable, then this does not apply.

since ur highest exponent is 4, then this is a 4th degree polynomial
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Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check
Kisachek [45]
<h3>1. The term -2(x-2)^2 is simplified by first squaring the expression (x – 2). </h3><h3>TRUE </h3><h3>2. The simplified product is a binomial. TRUE</h3><h3>3. After multiplying, the like terms are combined by adding and subtracting.</h3><h3>TRUE </h3><h3>4. The parentheses are eliminated through multiplication.  TRUE</h3><h3>5. The final simplified product is  -28x^2 + 8x - 8 FALSE</h3>

Step-by-step explanation:

Here, the given expression is :

F(x)  = 3x(x- 12x) + 3x^2-2(x-2)^2

Now, let us first solve the given expression step wise:

F(x)  = 3x(x-12x) +3x^2 -2(x-2)^2\\= 3x(-11x) +3x^2 -2(x^2 +4 -4x)\\= -33x^2 + 3x^2 -2x^2 -8+8x\\= -32x^2 +8x - 8\\\implies F(x)  = -32x^2 +8x - 8

Now, here the given statements are:

1. The term -2(x-2)^2 is simplified by first squaring the expression (x – 2).

TRUE

2. The simplified product is a binomial. TRUE

3. After multiplying, the like terms are combined by adding and subtracting.

TRUE

4. The parentheses are eliminated through multiplication.  TRUE

5. The final simplified product is  -28x^2 + 8x - 8 FALSE

As the simplified expression is: (-32x^2 +8x -8)

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