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2 years ago

How to divide a small number by a bigger number?

Mathematics

1 answer:

EastWind [94]2 years ago

6 0

To divide a small number by a bigger number, just see how many times the smaller number fits into the bigger number.

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Find all the zeros of the polynomial function p(x) = x3 – 5x2 + 33x – 29

hram777 [196]

Answer:

$\large \boxed{\sf \ \ x=1, \ \ x=2+5i, \ \ x=2-5i \ \ }$

Step-by-step explanation:

Hello,

I assume that we are working in $\mathbb{C}$ , otherwise there is only one zero which is 1. Please consider the following.

First of all, <u>we can notice that 1 is a trivial solution</u> as

$p(1) = 1^3-5\cdot 1^2 + 33\cdot 1-29=1-5+33-29=0$

It means that (x-1) is a factor of p(x) so we can find two real numbers, a and b, so that we can write the following.

$p(x)=(x-1)(x^2+ax+b)=x^3+ax^2+bx-x^2-ax-b=x^3+(a-1)x^2+(b-a)x-b$

Let's identify like terms as below.

a-1 = -5 <=> a = -5 + 1 = -4

b-a = 33

-b = -29 <=> b = 29

$\boxed{ \ p(x)=(x-1)(x^2-4x+29) \ }$

Now, we need to find the zeroes of the second factor, meaning finding x so that:

$x^2-4x+29=0 \ \text{ complete the square, 29 = 25 + 4} \\ \\ x^2-2\cdot 2 \cdot x+2^2+25=0 \\ \\ (x-2)^2=-25=(5i)^2 \ \text{ take the root } \\ \\x-2=\pm 5i \ \text{ add 2 } \\ \\ x = 2+5i \ \text{ or } \ x = 2-5i$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0

3 years ago

A bicycle store costs $4000 per month to operate. The store pays an average of $80 per bike. The average selling price of each

Andrews [41]

B=45.............................

3 0

2 years ago

Anyone know the answer?

Stolb23 [73]

Answer:

y-intercept = 1

Step-by-step explanation:

Here 1 grids crossing means increasing or decreasing by 1 grid. Here we are seeing the line crosses 1 grid above 0. So its positive 1. From here we find the y intercept is +1. Line crosses at coordinate ( 0 , 1 )

8 0

2 years ago

Read 2 more answers

What’s the answer to (16-x)2?

Oxana [17]

Answer:

-x + 18

Step-by-step explanation:

just add 16 and 2. this is the furthest it can be simplified

6 0

2 years ago

Which value below is included in the solution set for the inequality statement?