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3 years ago

Is x + 3 a factor of the polynomial 2x^3 + 5x - 3?

Mathematics

1 answer:

Lapatulllka [165]3 years ago

5 0

Answer: n = - 6

Step-by-step explanation:

Given (x + h) is a factor of a polynomial f(x) then f(- h) = 0

Here

f(x) = x³ + 2x² - 5x + n and (x + 3) is a factor then f(- 3) = 0 , that is

f(- 3) = (- 3)³ + 2(- 3)² - 5(- 3) + n = 0 , so

- 27 + 2(9) + 15 + n = 0

- 27 + 18 + 15 + n = 0

6 + n = 0 ( subtract 6 from both sides )

n = - 6

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How to solve including answer; 9r^2 +30r +25=0 by factoring

Stella [2.4K]

You would is this case use the perfect square rule. So your would squareroot 9r^2 and 25 to get 3r+5 then you would square this equation to get (3r+5)^2

7 0

3 years ago

Jerome will be buying a used car for $11,000 in 4 years. How much money should he ask his parents for now so that, if he invests

hjlf

Answer:

$7,987.64

Step-by-step explanation:

We know,

A = Pe^(rt)

Here,

A = 11000

interest r = .08

Time t = 4

Now,

11000 = Pe^(.08 * 4)

Or, 11000 = Pe^.32

Or, 11000 / e^.32 = P

Or, 7987.6394 = P

Or, P= 7,987.64

Jerome will have to ask for $7,987.64 to his parents.

4 0

3 years ago

Eric has 183 coins all of them are nickels and dimes. If the total value of the coins is 14.45, how many of each denomination co

FromTheMoon [43]

Answer:

77 nickels

106 dimes

Step-by-step explanation:

Let there be n nickes and d dimes

Since there are 183 coins, we can write:

n + d = 183

Also, the value of nickel is 0.05 and dime is 0.1, total value is 14.45, so we can write:

0.05n + 0.1d = 14.45

Solving 1st equation for n, we have:

n = 183 - d

Putting this into 2nd equation and solving for d:

$0.05n + 0.1d = 14.45\\0.05(183-d) + 0.1d = 14.45\\9.15-0.05d+0.1d=14.45\\0.05d=5.3\\d=106$

There are 106 dimes

Since, n = 183 - d

n = 183 - 106

n = 77

There are 77 nickels

4 0

3 years ago

David wants to pack 574 cereal bars into bags of 10 and bags of 8 the number of bags of 8 is 2 more than the bags of 10. How man

BabaBlast [244]

Answer: Number of bags of 8. = 33

Number of bags of 10. = 31

Step-by-step explanation:

Let x = Number of bags of 8.

y = Number of bags of 10.

As per given.

$8x+10y= 574$ (i)

$x=y+2$ (ii)

Put value of x from (ii) in (i)

$8(y+2)+10y= 574\\\\\Rightarrow\ 8y+16+10y=574\\\\\Rightarrow\ 18y=574-16\\\\\Rightarrow\ 18y=558\\\\\Rightarrow\ y=\dfrac{558}{18}\\\\\Rightarrow\ y=18$

Put this in (i), x= 31+2=33

Hence,

Number of bags of 8. = 33

Number of bags of 10. = 31

6 0

3 years ago

Write the number in standard form.<br><br> 7×10^7

mamaluj [8]

7×10^7 = 70000000 (10^7 = 10000000)

4 0

3 years ago

Read 2 more answers