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3 years ago

How do you divide a polynomial

1 answer:

8 0

Then: Divide the first term of the numerator by the first term of the denominator, and put that in the answer. Multiply the denominator by that answer, put that below the numerator. Subtract to create a new polynomial.

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Please help!! What Find the Error and explain why it is wrong!

Nata [24]

Answer:

First image attached

The error was done in Step E, because student did not multiply $2\cdot x -8$ by the negative sign in numerator. Step E must be $\frac{2\cdot x -5}{(x+4)\cdot (x-4)}$ .

Second image attached

The error was done in Step C, because the student omitted the $2\cdot a \cdot b$ of the algebraic identity $(a+b)^{2} = a^{2}+2\cdot a\cdot b +b^{2}$ . Step C must be $5\cdot x = x^{2}+4\cdot x + 4$

Step-by-step explanation:

First image attached

The error was done in Step E, because student did not multiply $2\cdot x -8$ by the negative sign in numerator. The real numerator in Step E should be:

$3-(2\cdot x -8)= 3-2\cdot x+8 = 11-2\cdot x$

Hence, Step E must be $\frac{2\cdot x -5}{(x+4)\cdot (x-4)}$ .

Second image attached

The error was done in Step C, because the student omitted the $2\cdot a \cdot b$ of the algebraic identity $(a+b)^{2} = a^{2}+2\cdot a\cdot b +b^{2}$ . Step C must be $5\cdot x = x^{2}+4\cdot x + 4$

And further steps are described below:

Step D

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

Which according to the Quadratic Formula, represents a polynomial with complex roots. That is: ( $a = 1$ , $b = -1$ , $c = 4$ )

$D = b^{2}-4\cdot a\cdot c$

$D = (-1)-4\cdot (1)\cdot (4)$

$D = -17$ (Conjugated complex roots)

Step E

$(x-0.5-i\,1.936)\cdot (x-0.5+i\,1.936) = 0$

Step F

$x = 0.5+i\,1.936\,\lor\,x = 0.5-i\,1.936$

8 0

3 years ago

Does the number 15/3 belong to the set of natural/counting numbers?

madreJ [45]

No 15/3 does not belong to the set of numbers

5 0

4 years ago

A gallon of water weighs 8.345 pounds. Simon uses 11.81 gallons of water while taking a shower. About how many pounds of water d

stealth61 [152]

1 gallon= 8.345 pounds

11.81 gallons= ? Ibs

11.81*8.345= 98.5 Ibs (99)

5 0

3 years ago

please help! this is for a grade and its overdue!!!!!!!! If the blueprint is drawn on the coordinate plane with vertices (1, 5)

viktelen [127]

Answer:

50 \sqrt[]{2} feet

Step-by-step explanation:

Given the vertices (1, 5) and (11, 15) for the corners labeled with red stars, the diagonal of the square C will be the length of the line joining the two vertices.

Using the Distance Formula:

Since 1 Square Unit = 25 Square Feet

1 Unit =5 feet

Therefore, the length of the diagonal

7 0

3 years ago

Read 2 more answers

Details pls not short answer

Ksenya-84 [330]

Answer:

see explanation

Step-by-step explanation:

Given that Bilal is age y and his mother is 25 years older, then

a. Bilal's mothers age is y + 25

b. the sum of their ages = y + y + 25 = 2y + 25

c. Mother is y + 25 = 12 + 25 = 37 years

3 0

3 years ago

Read 2 more answers