One of the factors of the polynomial x3 − 5x2 is x + 3. What is the other factor?a. x2-8x+24+(72/x+3)
b. x2-8x+24
c. x2-8x+24-(72/x+3)
d. x3-8x2+24x-72

Answers

Answer 1

Answer: The answer is letter c. x2-8x+24-[72/(x+3)]. If you do not know how to solve this using the long division method, you can always evaluate the options through the process of elimination first. Since the degree of the other factor is already 1 (x to the power of 1), you know that option d. is not the correct answer because you know that the other factor must be raised to the power of 2. That leaves us with a, b and c. Working backwards and multiplying the given factor (x+3) with the factor in b, gives us x3-5x2+72. So from there, you know that you have to eliminate 72, which can be removed when it is subtracted by itself. Letter c does just that. Try multiplying (x+3) and option c for yourself :).

Answer 2

Answer:

Answer:

Option C is correct.

Step-by-step explanation:

Given polynomial : x³ - 5x²

Factors of given polynomial = x + 3

Let, p(x) = x³ - 5x²

To get other factor of p(x), we divide p(x) by given factor.

On division we get,

Quotient = x² - 8x + 24

Remainder = -72

So another factor is $x^2-8x+24-(72)/(x+3)$

Therefore, Option C is correct.

Related Questions

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The circumference is 307.72 yards. What is the diameter?

Answers

I think its ans is

30 inches

The answer is 30 inches

13 is 40% of what number

Answers

translate
percent means parts out of 100 so 40%=40/100=0.4
'of' means multiply

13 is 40% of what
13=0.4 times what
divide both sides by 0.4
32.5=what

the number is 32.5

Its 32.5. How I got this answer is you would usually multiply 'that number' by 40%, but since we don't know it we divide 13 divided by 0.4(40% in decimal form) and that gives you 32.5. And to check your answer you do 32.5 multiplied by 0.4 to get 13.

Two rectangles have the same width. The length of one is 1 foot longer than the width. The length of the other is 2 feet longer than the width. The larger rectangle has 6 more square feet than the smaller. What is the width of the rectangles?

Answers

$w-width\n\nl_1=w+1\nl_2=w+2\n\nwl_1=wl_2-6\n\nw(w+1)=w(w+2)-6\nw^2+w=w^2+2w-6\nw^2-w^2+w-2w=-6\n-w=-6\nw=6\leftarrow answer$

The standard deviation of a sample taken from population A is 17.6 for a sample of 25. The standard deviation of a sample taken from population B is 21.2 for a sample of 30. The standard deviation of the sample mean difference is?

Answers

The answer is 5.5

The standard deviation (sd or σ) of the sample mean difference is:
sd = √(sd₁²/n₁ + sd₂²/n₂)

For the population A:
sd₁ = 17.6
n₁ = 25

For the population B:
sd₂ = 21.2
n₂ = 30

Hence:
sd = √(sd₁²/n₁ + sd₂²/n₂)
= √(17.6²/20 + 21.2²/30)
= √(309.76/20 + 449.44/30)
= √(15.49 + 14.98)
= √(30.47)
= 5.5

What is the polynomial function of lowest degree with lead coefficient 1 and roots i, –2, and 2?f(x) = x4 – 3x2 – 4
f(x) = x3 + x2 – 4x – 4

Which second degree polynomial function has a leading coefficient of –1 and root 4 with multiplicity 2?
f(x) = –x2 – 8x – 16
f(x) = –x2 + 8x – 16
f(x) = –x2 – 8x + 16

Which polynomial function has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1
f(x) = (x + 2i)(x + 3i)
f(x) = (x – 2)(x – 3)(x – 2i)(x – 3i)
f(x) = (x + 2i)(x + 3i)(x – 2i)(x – 3i)

Answers

In the question "What is the polynomial function of lowest degree with lead coefficient 1 and roots i, –2, and 2?" The given roots are i, -2 and 2. Recall that for any polynomial having complex root, the conjugate of the complex root is also a root of the polynomial, thus -i is also a root of the required equation. Thus the required equation is obtainrd thus: f(x) = (x - i)(x + i)(x - 2)(x + 2) = (x^2 + 1)(x^2 - 4) = x^4 - 4x^2 + x^2 - 4 = x^4 - 3x^2 - 4 In the question "Which second degree polynomial function has a leading coefficient of –1 and root 4 with multiplicity 2?" The required equation is obtained thus: f(x) = -(x - 4)^2 = -(x^2 - 8x + 16) = -x^2 + 8x - 16 In the question "Which polynomial function has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1" Recall that for any polynomial having complex root, the conjugate of the complex root is also a root of the polynomial, thus -2i and -3i are also roots of the required equation. Thus the required equation is obtained thus: f(x) = (x + 2i)(x + 3i)(x - 2i)(x - 3i).

A ramp was built by a loading dock. The height of the loading platform is 4 feet. Determine the length of the ramp if it makes a 32-degree angle with the ground. (Round to the nearest tenth). The shape is a triangle. I got my answer as 7.5 by rounding and is it correct?