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S_A_V [24]
2 years ago
13

If(X+1)and(3x+2)are factors of 3x^3+2x^2-3x-2, find the third factor​

Mathematics
1 answer:
Lelechka [254]2 years ago
6 0

Answer:

3  {x}^{3}  + 2 {x}^{2}  - 3x - 2 =  \\  {x}^{2} (3x + 2) - 1 \times (3x + 2) =  \\ (3x + 2)( {x}^{2}  - 1) = (3x + 2)(x - 1)(x + 1)

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If the 4th and 7th terms of a GP are 250 and 31250 respectively. Find the two possible values of a and r
Over [174]

Answer:

a = 2, r = 5

Step-by-step explanation:

Nth term of a GP = a×r^(n-1)

Where 'a' is the first term and 'r' is the common ratio

4th term = a×r^3 = 250

r^3 = 250/a

7th term = a×r^6 = 31250

a×r^6 = 31250

a×(r^3)^2 = 31250

a×(250/a)^2 = 31250

a×(62500/a^2) = 31250

62500/a = 31250

a = 62500/31250 = 2

a = 2

since r^3 = 250/a,

r^3 = 250/2 = 125

r = (125)^(1/3)

r = 5

5 0
3 years ago
Solve using long division (4x^4-15x^3+7x^2-1) divided by (x^3-x+2)
IrinaK [193]

Answer:

x = 7/2 = 3.500

x = 4

 x=  0.0000 - 1.4142 i  

 x=  0.0000 + 1.4142 i

Step-by-step explanation:

sorry if its wrong

6 0
2 years ago
James had a peach that was 98 mm in diameter. One day
irinina [24]

Answer:

1927 times

Step-by-step explanation:

To do this, you divide the second value by the first value.

This gives us 188,869 divided by 98, which equals around 1927.

Hope this helps.

7 0
3 years ago
A piecewise function is shown here:
prohojiy [21]

f(0) = -3(0) + 5 = 5

f(-4) = -3(-4) + 5 = 17

f(6) = ½(6) - 4 = -1

f(9) = 2

f(2) = ½(2) - 4 = -3

Using the restraints, find which equation the f(x) function validates and plug it in.

6 0
2 years ago
Pls give answer for 9c thanks
harina [27]

Answer:

probability for 3 on a dice (P3) in one dice =

\frac{1}{6}

probability for even no. of a dice (Pe) =

\frac{3}{6}  =  \frac{1}{2}

Therefore, the probability of finding 3 on one dice and even on another (P) = P3 + Pe

=  \frac{1}{6}  +  \frac{1}{2}  =  \frac{1 + 3}{6}  =  \frac{4}{6}  =  \frac{2}{3}

7 0
1 year ago
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