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3 years ago

Anna made an error in determining the polynomial equation of smallest degree whose roots are -4,-2, -

Mathematics

1 answer:

nalin [4]3 years ago

8 0

Answer:

See explanation

Step-by-step explanation:

Ana started the work nicely by multiplying out factors to get:\

$(x+4)(x+2)(2x+1)(x-2)=0$

She multiplied $(x+2)(x-2)$ correctly using difference of two squares to get: $x^2-4$

Unfortunately: She made a mistake in multiplying $(x+4)(2x+1)$ she mistakenly got $x^2+9x+4$ instead of $2x^2+9x+4$ . She left out the coefficient of 2.

Therefore the second step should have been:

$(x^2-4)(2x^2+9x+4)$

The next step will now be:

$2x^4+9x^3+4x^2-8x^4-36x-16=0$

This simplifies to

$2x^4+9x^3-x^4-36x-16=0$

You might be interested in

-14(3a+6)=12(6-4a)+12 and steps please

Sunny_sXe [5.5K]

Answer:

In the given equation -14(3a+6)=12(6-4a)+12 the value of a is 28

Step-by-step explanation:

Given equation is -14(3a+6)=12(6-4a)+12

To simplify the given equation:

-14(3a+6)=12(6-4a)+12

Taking all terms to one side

-14(3a+6)-12(6-4a)-12=0

-[14(3a+6)+12(6-4a)+12]=0

Now dividing by negative sign on the above equation we get

14(3a+6)+12(6-4a)+12=0 (using distributive property)

42a+84+72-48a+12=0 ( adding the like terms )

-6a+168=0

-6a=-168

6a=168

$a=\frac{168}{6}$

Therefore a=28

Therefore in the given equation -14(3a+6)=12(6-4a)+12 the value of a is 28

8 0

3 years ago

How would you write 0.07 as a percent?

Ray Of Light [21]

Answer: 7%

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A town's population has been growing linearly. In 2003, the population was 59.000 and the population has been growing by 1,700 p

Rudiy27

Answer:

In 2003, the population was 59000 and the population has been growing by 1,700 people each year.

The equation will be:

59000+1700x = (population 'x' years after 2003)

For x, you plug in the amount of years after 2003.

Like if it is the year 2003, the population is $59000+1700(0)$

= 59000

when it is year 2005, the population is $59000+1700(2)$

= 62400

The town's population in 2007 will be :

$(2007-2003=4)$

$59000+1700(4)$

Population = 65800

$59000+1700x=77700$

=> $1700x=18700$

x = 11

Means $2003+11=2014$

Hence, by year 2014 the population will be 77700.

5 0

3 years ago

There are 321 crayons in a box and 204 crayons on the floor. About how many fewer than 1,000 crayons are there? Estimate. Then s

Sati [7]

Answer:

See below

Step-by-step explanation:

The estimated number:

300 + 200 = 500

The difference between the estimated number an 1000 is:

1000 - 500 = 500

The exact number:

321 + 204 = 525

The difference between the exact number and 1000 is:

1000 - 525 = 475

6 0

3 years ago

The function f(x) = −x2 − 9x + 10 shows the relationship between the vertical distance of a diver from a pool's surface f(x), in

mote1985 [20]

Answer:

Zeros of a function: x = 1 and x = -10

Step-by-step explanation:

A zero of a function is the value of x when f(x) = 0. In other words it is the intersect point between x and y=f(x), when y =0.

First we need to make f(x)=0, so we would have: $-x^{2}-9x+10=0$ .

If we factorize this quadratic function, we would have: $(x+10)(x-1)=0$

So we get x = -10 and x = 1.

x = 1 means that the diver hits the water 1 foot away horizontally from the board.
x=-10 means the diver hits the water 10 feet behind the diving board.

Hope it helps!

4 0

3 years ago