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ella [17]
2 years ago
9

State the degree and dominant term of this polynomial

Mathematics
1 answer:
artcher [175]2 years ago
4 0

The degree of the polynomial f(x) = 2x(x - 3)³(x + 1)(4x - 2) is 6, and the dominant term is - 216x²

<h3>The degree of the polynomial?</h3>

The polynomial function is given as:

f(x) = 2x(x - 3)³(x + 1)(4x - 2)

To determine the degree, we simply add the multiplicities.

So, we have:

Degree = 1 + 3 + 1 + 1

Evaluate

Degree = 6

Hence, the degree of the polynomial is 6

<h3>The dominant term of the polynomial</h3>

We have:

f(x) = 2x(x - 3)³(x + 1)(4x - 2)

Expand

f(x) = 8x⁶ - 68x⁵ + 176x⁴ - 72x³ - 216x² + 108x

The term with the highest absolute value is - 216x²

Hence, the dominant term is - 216x²

Read more about polynomials at:

brainly.com/question/4142886

#SPJ1

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So you start at 0 then (1,3) , (2,12) and the other side would be (-1,3) , (-2,12)
8 0
2 years ago
Read 2 more answers
Dean loves rocks! He has 666 pieces of granite, 333 pieces of marble, 141414 pieces of sandstone, and 111 pieces of slate.
uranmaximum [27]

Answer:

The ratio of sanstone to marble is... 141414 : 333

All you have to do is look at how much sandstone Dean has and how much marble he has, then put the amount of sandstone infront of the amount of marble because in the question it says what is the ratio of sandstone to marble and you see that sandstone is first.

Hope this helps! :)

Stay safe

5 0
3 years ago
Someone pls show me
vlada-n [284]

Answer:

  x = 4

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the remote interior angles.

  18x +5 = (46) +(-1 +8x)

  10x = 40 . . . . . . . . . . . . . subtract (5+8x) from both sides, simplify

  x = 4 . . . . . . divide by 10

__

<em>Additional comment</em>

The exterior angle is (18)(4) +5 = 77°. The marked unknown interior angle is -1+(8)(4) = 31°. The sum of the two remote interior angles is 46°+31° = 77°. The unmarked interior angle is 180°-77° = 103°.

7 0
2 years ago
I don't have any idea. ​
kaheart [24]

Answer:

Domain = ( -∞,∞), {x|x ∈  R}

Range (-∞,2], {y|y ≤ 2}

Vertex (h,k) = (6,2)

Step-by-step explanation:

(Domain / Range) The absolute value expression has a V shape. The range of a negative absolute value expression starts at its vertex and extends to negative infinity.

(Vertex) To find the x coordinate of the vertex, set the inside of the absolute value

x − 6 equal to 0 . In this case, x − 6 = 0 .

x−6=0

Add 6 to both sides of the equation.

x=6

Replace the variable x with 6 in the expression.

y=−1/3⋅|(6)−6|+2

Simplify−1/3⋅|(6)−6|+2.

y=2

The absolute value vertex is ( 6 , 2 ) .

(6,2)

Hope this helps

6 0
3 years ago
Marsha earn $25 per hour up to 36 hours; after this,she is paid double time. In one particular week she earned $1550.00 .how man
mel-nik [20]

Answer: Marta worked 13 hours overtime.

Step-by-step explanation:

1): You do 25 x 36 to get the amount of money she can make before she starts to make double.

36 x 25 = 900

2): Minus $900 from $1550

$1550 - $900 = $650

3): Divide $650 by $50

$650 / $50 = 13 hours worked overtime

7 0
3 years ago
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