All categories

2 years ago

What is the product of the polynomials below?

Mathematics

1 answer:

Irina-Kira [14]2 years ago

3 0

Answer:

(x+4)(x2−8x+3)

=(x+4)(x2+−8x+3)

=(x)(x2)+(x)(−8x)+(x)(3)+(4)(x2)+(4)(−8x)+(4)(3)

=x3−8x2+3x+4x2−32x+12

=x3−4x2−29x+12

You might be interested in

The length of the hypotenuse of the right triangle is 25 cm, the length of one of the legs is 10 cm. What is the length of the s

sergejj [24]

Answer:

$\large\boxed{AD=21\ and\ CD=2\sqrt{21}}$

Step-by-step explanation:

Look at the picture.

Use the Pythagorean theorem for calculate the length of CA:

$CA^2+CB^2=AB^2$

We have

$CA=x,\ CB=10,\ AB=25$

Substitute:

$x^2+10^2=25^2$

$x^2+100=625$ subtract 100 from both sides

$x^2=525\to x=\sqrt{525}\\\\x=\sqrt{25\cdot21}\\\\x=\sqrt{25}\cdot\sqrt{21}\\\\x=5\sqrt{21}\ cm$

ΔADC and ΔACB are similar. Therefore the corresponding sides are in proportion:

$\dfrac{AD}{AC}=\dfrac{AC}{AB}$

We have:

$AD=y,\ AC=5\sqrt{21},\ AB=25$

Substitute:

$\dfrac{y}{5\sqrt{21}}=\dfrac{5\sqrt{21}}{25}$

$\dfrac{y}{5\sqrt{21}}=\dfrac{\sqrt{21}}{5}$ cross multiply

$5y=5(\sqrt{21})^2$ divide both sides by 5

$y=21\ cm$

If you mean the length of segment CD, then use the proportion:

$\dfrac{CD}{AD}=\dfrac{CB}{CA}$

Substitute:

$\dfrac{CD}{21}=\dfrac{10}{5\sqrt{21}}\\\\\dfrac{CD}{21}=\dfrac{2}{\sqrt{21}}\qquad\text{cross multiply}\\\\CD\sqrt{21}=42\qquad\text{multiply both sides by}\ \sqrt{21}\\\\21CD=42\sqrt{21}\qquad\text{divide both sides by 21}\\\\CD=2\sqrt{21}\ cm$

3 0

3 years ago

Mandy is setting up for a reception. For the number of seats needed, she knows she can use either 8 seats at each table with non

Alex17521 [72]

Answer:

This is an LCD question. The answer is 40.

4 0

3 years ago

What is the recursive formula for the geometric sequence with this explicit formula

Arisa [49]

Answer:

a_0 = -27

a_n = a_(n-1) * (-1/3)

Step-by-step explanation:

First evaluate given formula at n=0 and specify that as starting value

Then find how to get from n-1 to n by comparing two values. In this case the next value is formed by multiplying by -1/3.

4 0

3 years ago

Read 2 more answers

Janet is a banker who works as a musician on the weekends. Here is part of her tax worksheet: wages from banking $38,295.47, wag

jasenka [17]

I think it 49,413.69

3 0

2 years ago

First right answer FOR BOTH gets bain

lora16 [44]

Question 7: 40. 40 is way above the other data.
Question 8: Median is 7, and the range is 12, the difference is 5.
Question 9: The first mean was 6, and it went up to 6.75. There is a 0.75 difference.
Question 10: The range increases by one.

5 0

3 years ago