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Mandarinka [93]
3 years ago
13

What is the answer to m divided by 6 = 84

Mathematics
1 answer:
Andrews [41]3 years ago
6 0

Answer:m=504

Step-by-step explanation:

m/6=84

Cross multiply

m=84 x 6

m=504

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Find all zeros of the polynomial P(x) = x3 − 2x2 − 3x + 10. Express any non-real roots in the form a + bi.
Strike441 [17]

Answer:

x =  - 2 \: or \: x = 2 - i \: or \: x = 2 + i

Step-by-step explanation:

The given equation is

p(x) =  {x}^{3} - 2 {x}^{2} - 3x + 10

We can see that:

p(  - 2) =  {( - 2)}^{3} - 2 {( -2) }^{2} - 3( - 2)+ 10

p(  - 2) =  - 8- 8 + 6+ 10 = 0

This means x=-2 is a zero of p(x).

From the long division in the attachment,

We can rewrite the polynomial as:

{x}^{3}  - 2 {x}^{2}  - 3x + 10 = (x + 2)( {x}^{2}  - 4x + 5)

We now find solution to the quadratic part:

{x}^{2}  - 4x + 5 = 0

This is given by:

x =  \frac{ - b \pm \sqrt{ {b}^{2}  - 4ac} }{2a}

We plug in the values to get:

x =  \frac{ -  - 4 \pm \sqrt{ {( - 4)}^{2}  - 4 \times 1 \times 5} }{2 \times 1}

x =  \frac{ 4 \pm \sqrt{ 16  -  20} }{2 }

x =  \frac{ 4 \pm \sqrt{ - 4} }{2 }

x =  \frac{ 4 \pm2i}{2 } \\ x =   2 \pm \: i \\ x = 2 - i \: or \: x = 2 + i

Therefore all solutions are:

x =  - 2 \: or \: x = 2 - i \: or \: x = 2 + i

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Click here: brainly.com/question/1406863

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