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Taya2010 [7]
4 years ago
8

Is x + 2 a factor of x^20 - 4x^18 + 3x - 6

Mathematics
1 answer:
KiRa [710]4 years ago
5 0

Answer: (x-2) is not a factor

Step-by-step explanation:

x^20 - 4x^18 +3x - 6 = 0 is a polynomial.

To test if (x + 2) is a factor, we are to use factor theorem

Make x the subject of the formula

x + 2 = 0

x = 0 - 2

x = -2

Put x = -2 into the equation. If the result on both the left hand side and right hand side is 0, then (x + 2) is a factor

(-2)^20 - 4(-2)^18 + 3(-2) - 6 = 0

1048576 - 4(262144) -6 -6 =0

1048576 - 1048576 -12 = 0

0 -12 = 0

-12 =0

Since LHS is not equal to RHS. (x+2) is not a factor of the equation

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Anyone know this.......
RideAnS [48]

Answer:

a) The basic rate of pay is 6 sterling pounds per hour.

b) The higher rate of pay is 10 sterling pounds per hour.

Step-by-step explanation:

Both segments of the curve are first order polynomials, which means that each have constant slopes.

a) The basic rate of pay is the value of the slope (r), in sterling pounds per hour, of the line for the first 20 hours worked, that is:

r = \frac{\Delta y}{\Delta x} (1)

Where:

\Delta x - Change in hours worked, in hours.

\Delta y - Change in pay, in sterling pounds.

If we know that \Delta x = 20\,h and \Delta y = \pounds\, 120, then the basic rate is:

r = \frac{\Delta y}{\Delta x}

r = \frac{\pounds\,120}{20\,h}

r = 6\,\frac{\pounds}{h}

The basic rate of pay is 6 sterling pounds per hour.

b) By using (1), we calculate the higher rate of pay below. If we know that \Delta x = 10\,h and \Delta y = \pounds \,100, then the higher rate is:

r = \frac{\Delta y}{\Delta x}

r = \frac{\pounds\,100}{10\,h}

r = 10\,\frac{\pounds}{h}

The higher rate of pay is 10 sterling pounds per hour.

7 0
3 years ago
You find a shirt that costs 24.67 for some clothes. To get ready for Black Friday there was a discount, and the discount was 32%
mash [69]

Answer:16.78

Step-by-step explanation:

8 0
3 years ago
Jose will travel 268 kilometers with his family this weekend. How many miles will he travel? Use the conversion table to find
mixer [17]

Answer:

166.5275

Step-by-step explanation:

i looked it up

3 0
4 years ago
Read 2 more answers
What value, entered in the blank below, would make the two expressions equivalent? Expres
malfutka [58]

Answer:

The value is -3

Step-by-step explanation:

Here in this question, we are interested in making the expressions on both sides of the equation equal. But we seek a particular value or number which when placed in front of the quadratic expression on the right hand side makes the equations equal.

To get this done with, we will need to factorize the expression on the left hand side of the equation.

Thus, we can write;

-27x^2 + 9x + 12 as 3(-9x^2 + 3x + 4)

What do we notice? we can see that the now factored quadratic expression resembles what we have on the right hand side asides there fact that we are not there yet in terms of sign.

Thus, we can finally write ;

-27x^2 + 9x + 12 as -3(9x^2 -3x -4)

This exactly gives the expression on the right hand side

Thus the value to place in the blank is -3

5 0
3 years ago
Larry earns $150 a week selling cars. He receives a bonus of $ 60 for each car he seks plus his salary. How many cars must be se
Gennadij [26K]

Answer:

7

Step-by-step explanation:

y = 60x + 150

550 - 150 = 400

400/60 = 6.66666...

Round up as you can't sell just part of the car.

He must sell 7 cars

5 0
3 years ago
Read 2 more answers
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