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Ber [7]
1 year ago
15

Which expression is a prime polynomial?A. X^3-bx^2B. X^2-4x-12C. X^+8xy^3D. X^2-b^3

Mathematics
1 answer:
SOVA2 [1]1 year ago
5 0

A prime polynomial is one that can only be divided by itself and 1. Let's check it option.

A. x³-bx²

This polynomial can be divided by itself, 1, x and x². So it can't be prime.

B. x²-4x-12

This polynomial represents the standard form of a second order polynomial. This means that it is a parabolla. A polynomial of this form can be divided by (x-a) where "a" is the value of its roots. So it can't be prime.

C. x+8xy³

This polynomial can be divided by x, 1 and itself, therefore it can't be a prime.

D. x²-b³

This polynomial can only be divided by 1 and itself. So this is the correct answer.

You might be interested in
The question is below​
Cloud [144]

Answer:

See below.

Step-by-step explanation:

a.

The first figure has 1 square. The second figure has a column of 2 squares added to the left. The third figure has a column of 3 squares added to the left. Each new figure has a column of squares added to the left containing the same number of squares as the number of the figure.

b.

Figure 10 has 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55 squares.

c.

The formula for adding n positive integers starting at 1 is:

1 + 2 + 3 + ... + n = n(n + 1)/2

For figure 55, n = 55.

n(n + 1)/2 = 55(56)/2 = 1540

d.

Let's use the formula set equal to 190 and solve for n. If n is an integer, then we can.

n(n + 1)/2 = 190

n(n + 1) = 380

We know that 380 = 19 * 20, so n = 19.

Answer: yes

e.

Use the formula above,

S = n(n + 1)/2, where S is the sum.

f.

n(n + 1) = 1478

38 * 39 = 1482

37 * 38 = 1406

3 0
3 years ago
What is the area of this parallelogram?
Alex Ar [27]
Formula for area of parallelogram:
A= bh
Where b is the length of base and h is the height.
Here b=2.3+4.5 = 6.8 cm
and h= 4.5 cm
Put values in formula.

A= 6.8 x 4.5
A=30.6 cm²

Answer: 30.6 cm
²


7 0
3 years ago
I need some help on this, please.
Free_Kalibri [48]

Hey there!

Area= length*width.

6.2 is the length and 3.7 is the width

3.7 *6.2= 22.94 yd^2

I hope this helps!

~kaikers


7 0
3 years ago
What is 89 add 78<br><br><br><br>first ti answer wins brainleast
Alex777 [14]

89+78=167

Hope this helps

-Moiselle

3 0
2 years ago
Read 2 more answers
A jar contains 5 red, 4 green, 7 yellow marbles. Without looking, one marble is elected. What is the probability that it is yell
Kitty [74]

Answer:

7/16

Step-by-step explanation:

The probability of picking a yellow marble at first is 7/16 (total number of yellow marbles / total number of marbles present)

3 0
3 years ago
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