All categories

3 years ago

Can someone help me with these? No clue how to do it or what the answer is

Mathematics

1 answer:

astraxan [27]3 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

Given

f(x) = $x^{4}$ + 3x³ - 4x²

To find the zeros equate f(x) to zero, that is

$x^{4}$ + 3x³ - 4x² = 0 ← factor out x² from each term

x²(x² + 3x - 4) = 0 ← factor the quadratic

x²(x + 4)(x - 1) = 0 ← in standard form

Equate each factor to zero and solve for x

x² = 0 ⇒ x = 0 with multiplicity 2

x + 4 = 0 ⇒ x = - 4

x - 1 = 0 ⇒ x = 1

zeros are x = - 4, x = 0, x = 1

You might be interested in

Find all polar coordinates of point p where p = ordered pair 5 comma pi divided by 3.

Aleonysh [2.5K]

Find all polar coordinates of point p where p = ordered pair 5 comma pi divided by 3.

The polar coordinate of any point can be written as:

(r, θ) = (r, θ + 2nπ) --> when positive

(r, θ) = [ - r, θ + (2n + 1)π ] --> when negative

where n is any integer.

The polar coordinates of this given point P is: P = (r, θ) = (5, π/3).

When the value of r is positive, the polar coordinate is written as P= (5, π/3) = (5, π/3 + 2nπ)

where n is any integer.

When the value of r is negative, the polar coordinate is written as P = (5, π/3) = [ - 5, π/3 + (2n + 1)π] where n is any integer.

Therefore all polar coordinates of point P are (5, π/3 + 2nπ) and [ - 5, π/3 + (2n + 1)π ].

7 0

3 years ago

A rectangular park is 40 m long and 24 m wide. A path 3m wide is constructed outside the park. Find the area of the path?

satela [25.4K]

Answer:

area of path is area of park with path - area of rectangular park

area of park =l x b= 45 x 30=1350 cm2

area of park with path is =45+2.5+2.5 x 30+2.5+2.5 = 1750cm2

area of path = 1750-1350=400 cm2

Step-by-step explanation:

8 0

3 years ago

Which of the following is a conditional statement?

11111nata11111 [884]

Answer: i will eat snything that is dipped in chocolate.

Step-by-step explanation: it has to be dipped in chocolate for the person to eat.

5 0

3 years ago

Which sample is representative of the population being studied?

Lesechka [4]

First, let's break down what the difference between a sample and population is. A sample is a small part or quantity intended to show what the whole is like. A population is all inhabitants of a town, country, or the world. Samples are only representative of the population if the data collected is being collected in a fair manner. In answer choices A - C, the researcher is collecting data in locations specific to what is being studied. The outcome is likely to be bias because of the method in which the data is being collected. It is for that reason that the correct answer is D. To learn how many students at her school spend more than $10 on books in a month, Mia speaks to every sixth student she meets in the school hallway.

8 0

3 years ago

Read 2 more answers

Factor the quadratic by checking factor pairs. -15x2 – 21x + 18 -15x2 – 218 + 19 = -3

d1i1m1o1n [39]

Answer:

-3(x + 2)(5x - 3)

Step-by-step explanation:

-15x² – 21x + 18

-3(5x² + 7x - 6)

-3[5x² + 10x - 3x - 6]

-3[5x(x + 2) - 3(x + 2)]

-3(x + 2)(5x - 3)

3 0

4 years ago

Can someone help me with these? No clue how to do it or what the answer is​

Can someone help me with these? No clue how to do it or what the answer is