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3 years ago

Factor the polynomial F(x) =x^3-x^2-4x+4 completely.

Mathematics

1 answer:

Norma-Jean [14]3 years ago

6 0

Answer:

Step-by-step explanation:

PART 1:

Possible roots by noticing the coefficient of first term:

x = 1, -1

PART 2:

1 | 1 -1 -4 4

1 0 -4 0

The remainder is zero, hence one factor is (x-1)

PART 3:

$x^3-x^2-4x+4=(x^2-4)(x-1)\\\\x^3-x^2-4x+4=(x+2)(x-2)(x-1)$

PART 4:

$f(x)=(x+2)(x-2)(x-1)\\\\=(x^2-4)(x-1)\\\\=x^3-4x-x^2+4\\\\=x^3-x^2-4x+4$

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Arrange the rational numbers −7/10, 5/−8, 2/−3in ascending order.

lilavasa [31]

Answer:

-8 / -7 / -3 / 2 / 5 / 10

Step-by-step explanation:

you have to arrange all the numbers from the smallest number to the greatest number, but in negative, always bigger number are considered small.

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3 years ago

There are many three digit numbers that are each divisible by 7 and also 8 without a remainder.What is the largest of these thre

Semenov [28]

The largest number is 952. I'll tell you why...

7*8=56

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3 years ago

When you buy an item on which sales tax is charged,the total cost is calculated by the formula T=P+s/100p where T is the total c

Gennadij [26K]

Given:

The formula for total cost is

$T=p+\dfrac{s}{100}p$

where, p is the price of item and s is the sales tax rate (as a percent).

You pay $14.77 for an item priced at $14.

To find:

The the tax rate.

Solution:

You pay $14.77 for an item priced at $14. So,

Total cost (T) = $14.77

Price of item (p) = $14

Putting T=14.77 and p=14 in given formula, we get

$14.77=14+\dfrac{s}{100}(14)$

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$0.77=\dfrac{s}{100}(14)$

Multiply both sides by 100.

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Divide both sides by 14.

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3 years ago

Eli wants to plant 45 sunflower plants, 81 corn plants and 63 tomato plants in his garden. If he put the same number of plants i

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Answer:

Step-by-step explanation:

For this problem, you would use the GCF

Find the GCF of 45, 81, 63

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Since 5, 9, 7 have no common factors, the GCF has to be 9.

This means that the greatest number of plants he can put in each row is 9.

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3 years ago

Solve the following system of equations using substitution <br> x = 4 <br> 2x + 4y = 36

DiKsa [7]

Just plug in 4 for the x

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7 0

2 years ago

Read 2 more answers