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Dmitrij [34]
3 years ago
14

Prove that (x-2)is factor of p (x)=2x³-3x²-17x+30​

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
8 0

Answer:

P(2)=0 then x-2 is a factor of P(x)

Step-by-step explanation:

To see if (x-2) is a factor just plug in 2 for x into the polynomial expression.

2(2)^3-3(2)^2-17(2)+30

2(8)-3(4)-34+30

16-12-34+30

4-34+30

-30+30

0

Since P(2)=0 then x-2 is a factor

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A car salesperson sells a car for $21,000. She receives a 5.25% commission on the sale of the car.
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She receives $1,102.50 for commission. All you need to do to solve this problem is multiply the amount given by the percentage as a decimal.
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3 years ago
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Identify the polygon and classify it as regular or irregular.
Nimfa-mama [501]

Answer: YES

Step-by-step explanation: A polygon which has all its sides of equal length and all its angles of equal measures is called a regular polygon. ... Therefore, a regular pentagon is a regular polygon. Irregular polygon: A polygon which has all its sides of unequal length and all its angles of unequal measures is called an irregular polygon.

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Evaluate the following:<br>(-8)2​
Zigmanuir [339]

Answer:

<h3>-16</h3>

Step-by-step explanation:

PEMDAS- (Parenthesis, Exponents, Multiply, Divide, Add, and Subtract) from left to right.

BOMDAS- (Brackets, Of, Multiply, Divide, Add, and Subtract) from left to right.

(-8)2

-8*2 (First, remove parenthesis.)

-8*2=-16

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Therefore, the final answer is -16.

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3 years ago
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A company sells kitchen toys for kids, including artificial carrots that are cone shaped with a radius of 1 cm and a height of 6
sdas [7]

Answer:

Total space in the box is 75.2 cm³.

Step-by-step explanation:

Cone:

  • It is three dimension shape.
  • It has a vertex.
  • The slant height of a cone l^2=r^2+h^2, l= slant height, r= radius of the base, h= height
  • The lateral surface area is πrl
  • The volume of a cone is \frac13 \pi r^2h.

The artificial carrot that are cone shaped with a radius 1 cm and a height of 6 cm.

So, the volume of the cone is =\frac13 \pi r^2h

                                                =\frac13 \pi (1)^2.6

                                                =2\pi cm³

The volume 1 dozen carrots is = (12×2π)   cm³

                                                  =75.4 cm³

The volume of the box= The volume of the 1 dozen carrot.

Total space in the box is 75.2 cm³.

4 0
3 years ago
11. Give two examples of each type of number: real, natural, integers, rational and irrational.
zaharov [31]

Answer:

real:√2, 3,-1, 1/2 etc

natural: 1,2,3,4,5,6.....(0 is not included)

integers:. .............-4,-3,-2,-1,0,1,2,3,4........ etc

rational: nos. which are in p/q form

:1/2,3/4,4/9 etc

irrational: nos. which cannot be written in p/q form

: √2,√3... etc

irrational: √2, √3, √5, √11, √21, π(Pi)

7 0
3 years ago
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