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WARRIOR [948]
3 years ago
9

c%7B1%7D%7B2%7D%20%20%2B%206%20%5Cfrac%7B1%7D%7B2%7D%20%3D%20%20%5C%5C%204%20%5Cfrac%7B3%7D%7B5%7D%20%20%2B%207%20%5Cfrac%7B1%7D%7B10%7D%20%3D%20%20%5C%5C%206%20%5Cfrac%7B1%7D%7B2%7D%20%20%2B%205%20%5Cfrac%7B1%7D%7B4%7D%20%20%3D%20%20%5C%5C%201%20%5Cfrac%7B2%7D%7B3%7D%20%20%2B%204%20%5Cfrac%7B3%7D%7B10%7D%20%20%3D%20%20%5C%5C%205%20%5Cfrac%7B1%7D%7B2%7D%20%20-%205%20%5Cfrac%7B1%7D%7B4%7D%20%20%3D%20%20%5C%5C%204%20%5Cfrac%7B3%7D%7B12%7D%20%20%2B%204%20%5Cfrac%7B2%7D%7B3%7D%20%20%3D%20%20%5C%5C%20please%20%5C%3A%20show%20%5C%3A%20your%20%5C%3A%20work.%20%5C%3A%20tyia" id="TexFormula1" title="6 \frac{2}{5} - 1 \frac{1}{3} = \\ 5 \frac{1}{2} + 6 \frac{1}{2} = \\ 4 \frac{3}{5} + 7 \frac{1}{10} = \\ 6 \frac{1}{2} + 5 \frac{1}{4} = \\ 1 \frac{2}{3} + 4 \frac{3}{10} = \\ 5 \frac{1}{2} - 5 \frac{1}{4} = \\ 4 \frac{3}{12} + 4 \frac{2}{3} = \\ please \: show \: your \: work. \: tyia" alt="6 \frac{2}{5} - 1 \frac{1}{3} = \\ 5 \frac{1}{2} + 6 \frac{1}{2} = \\ 4 \frac{3}{5} + 7 \frac{1}{10} = \\ 6 \frac{1}{2} + 5 \frac{1}{4} = \\ 1 \frac{2}{3} + 4 \frac{3}{10} = \\ 5 \frac{1}{2} - 5 \frac{1}{4} = \\ 4 \frac{3}{12} + 4 \frac{2}{3} = \\ please \: show \: your \: work. \: tyia" align="absmiddle" class="latex-formula">
please show your work. thank you in advance :)​
Mathematics
1 answer:
lara31 [8.8K]3 years ago
8 0

if i know the anwser,you must gave mini love

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Answer:

b) the coefficient of x of jamie's polynomial is 5 .

c) The two polynomials are :

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Step-by-step explanation:

consider these two Monic polynomials of degree 3:

P : x³ + ax² + bx² + c  

Q : x³ + a₁x² + bx² + c  

P × Q = x⁶+ (a+a₁)x⁵ + (aa₁+2b)x⁴ + (ab+a₁b+2c)x³ + (ac+a₁c+b²)x² +2bcx + c²

Now we compare the coefficients of P × Q and  x⁶ + 2x⁵ +2x⁴ + 18x³ + 33x² + 40x + 16

b)

c² = 16 ⇒ c = 4  (c is positive)

2bc = 40 ⇒ 8b = 40 ⇒ b = 5 then the coefficient of x of jamie's polynomial is 5 .

c)

In order to find a and a₁ we need to solve this system:

a+a₁ = 2                   a+a₁ = 2

                      ⇔

aa₁+2b = 2              aa₁ = -8

Solve the system and you’ll get :

a = 4 and a₁ = -2   or a = -2 and a₁ = 4

Let’s choose a = 4 and a₁ = -2 then

the two polynomials are respectively:

P : x³ + ax² + bx² + c  = x³ + 4x² + 5x + 4

Q : x³ + a₁x² + bx² + c  = x³ - 2x² + 5x + 4

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Step-by-step explanation:

The question's asking the difference between 2 binomial polynomials.

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