Ask question

Ask question

All categories

1 year ago

11

Write the factored form of the polynomial function with real coefficients, a lead coefficient of 1, and zeros

1 answer:

Kitty [74]1 year ago

8 0

The factored form of the polynomial function is y(x) = (x + 3)²(x - 4)(x - 2)

<h3>How to determine the factored form?</h3>

The given parameters are:

Leading coefficient, a = 1
Zeros = -3, -3, 4, and 2.

Rewrite the zeros as:

x = -3, x = -3, x = 4 and x = 2

Set the zeros to 0

x + 3 = 0, x + 3 = 0, x - 4 = 0 and x - 2 = 0

Multiply the zeros

(x + 3) * (x + 3) * (x - 4) *(x - 2) = 0

Express as a function

y(x) = a(x + 3) * (x + 3) * (x - 4) *(x - 2)

Substitute 1 for a

y(x) = (x + 3)²(x - 4)(x - 2)

Hence, the factored form of the polynomial function is y(x) = (x + 3)²(x - 4)(x - 2)

Read more about polynomials at:

brainly.com/question/4142886

#SPJ1

You might be interested in

The solution to x^2-10x=24 is?

statuscvo [17]

X^2-10x-24=0
(x+2)(x-12)=0
x=-2 or x=12

4 0

3 years ago

Read 2 more answers

Adam must fly home to city A from a business meeting in city B. One flight option flies directly to city A from B, a distance o

g100num [7]

Answer:

The value is $k =109.6 \ miles$

Step-by-step explanation:

The diagram illustrating the question is shown on the first uploaded image

From the question we are told that

The distance from city A to B is AB = 467.3 miles

The bearing from B to C is $\theta_{BC} = N 28.7E$

The bearing from B to A is $\theta_{BA} = N 60.7E$

The bearing from A to B is $\theta_{AB} = S60.7W$

The bearing from A to C is $\theta_{AC} = S79.1W$

Generally from the diagram

$\theta_A = 180 - 60.7 -79.1$

=> $\theta_A = 40.2 ^o$

Also

$\theta_B = 32^o$

and

$\theta_C = 180 - (\theta_A +\theta_B )$

=> $\theta_C = 180 - (40.2 + 32 )$

=> $\theta_C = 107.8 ^o$

Generally according to Sine Rule

$\frac{BC}{sin (\theta_A)} = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}$

=> $\frac{BC}{sin (40.2)} = \frac{CA}{sin (32)} =\frac{467.3 }{sin (107.8)}$

So

$\frac{BC}{sin (40.2)} = \frac{467.3 }{sin (107.8)}$

=> $BC = 316.8 \ miles$

Also

$\frac{CA}{sin (32)} = \frac{467.3 }{sin (107.8)}$

$CA = 260 .1 \ miles$

Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct flight is mathematically represented as

$k = [CA +BC] - AB$

=> $k = [260 .1 +316.8]- 467.3$

=> $k =109.6 \ miles$

4 0

3 years ago

What is the one shape of cross-section we could create by slicing the cylinder perpendicular to its base

Inga [223]

Answer:

rectangle

Step-by-step explanation:

A rectangle represents a figure with four sides having equal opposite sides and the inside angle between the two adjacent sides is ninety degree.

When any plane is made to pass through the cylinder creating a cross section which is perpendicular to its base, it results a two-dimensional cross sectional shape of a rectangle.

4 0

3 years ago

Will mark brainliest

faust18 [17]

$x^3$ is strictly increasing on [0, 5], so

$\max\{x^3 \mid 0\le x\le5\} = 5^3 = 125$

and

$\min\{x^3 \mid 0 \le x\le5\} = 0^3 = 0$

so the integral is bounded between

$\displaystyle \boxed{0} \le \int_0^5x^3\,dx \le \boxed{125}$

8 0

2 years ago

8 1/3 of what number is 50.5

maks197457 [2]

I hope this helps you

6 0

3 years ago