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3 years ago

Find polynomial whose zeros are 3 and -4

Mathematics

1 answer:

horrorfan [7]3 years ago

6 0

Answer:

Simplest polynomial: x²+x-12

Step-by-step explanation:

zeroes of polynomial= 3,-4

Therefore,

f(3) =0

f(-4)=0.

By factor Theorem

(x-3) and (x+4) are factors

so simplest polynomial is

(x-3)(x+4)

= x² - 3x + 4x -12

= x² + x -12

Hope it helps

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Rounding factors to the greatest place results in this

san4es73 [151]

Estimate is the answer

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2 years ago

Tanya has a garden with a trench around it. The garden is a rectangle with width 2 1/2 m and length 2 m. The trench and garden t

vichka [17]

Answer:

The area of a trench is 5.5 m² .

Step-by-step explanation:

Formula

Area of a rectangle = Length × Breadth

As given

Tanya has a garden with a trench around it.

$The\ garden\ is\ a\ rectangle\ with\ width\ 2\frac{1}{2}\ m\ and\ length\ 2\ m.$

i.e

$The\ garden\ is\ a\ rectangle\ with\ width\ \frac{5}{2}\ m\ and\ length\ 2\ m.$

Put in the above formula

$Area\ of\ garden = \frac{5\times 2}{2}$

= 5 m²

As given

$The\ trench\ and\ garden\ together\ make\ a\ rectangle\ with\ width\ 3 \frac{1}{2}\ m\ and\ length\ 3 m.$

i.e

$The\ trench\ and\ garden\ together\ make\ a\ rectangle\ with\ width\ \frac{7}{2}\ m\ and\ length\ 3 m.$

$Area\ of\ garden\ with\ trench = \frac{7\times 3}{2}$

$Area\ of\ garden\ with\ trench = \frac{21}{2}$

= 10.5 m²

Area of the trench = Area of garden with trench - Area of garden

Put the value in the above

Area of the trench = 10.5 m² - 5 m²

= 5.5 m ²

Therefore the area of a trench is 5.5 m² .

5 0

3 years ago

Read 2 more answers

Convert 19 over 2 to a decimal using long division.

vampirchik [111]

19/2 = 19 divided by 2 = 9.5

Hope this helped.

5 0

3 years ago

Read 2 more answers

After the first term in a sequence, the ratio of each term to the preceding term is r. If the first term is a, what is the third

irinina [24]

Answer:

The 3rd term is

$ar^2$

Step-by-step explanation:

From the given information, the first term of the sequence is

$a_1=a$

The common ratio of the sequence is

$r$

The explicit formula for a geometric sequence is :

$a_n=a_1(r^{n-1})$

To find the third term, we put n=3 to get:

$a_n=a(r^{3-1})$

This simplifies to:

$a_3=ar^2$

7 0

3 years ago

. Tickets to a football game cost a dollars for adults and s dollars for students. If a family of 2 adults and 3 students buy ti

garri49 [273]

Answer:

Choice C is the answer.

Known information:

a = adult $

s = student $

We have 2 adults and 3 students.

Step-by-step explanation:

To find the total price of tickets given a # of students and adults, multiply a by the # of adults and multiply s by the # of students. Therefore, it would look like this:

2a + 3s = price

Therefore, choice C is the answer.

Hope this helps!

3 0

2 years ago

Find polynomial whose zeros are 3 and -4​

Find polynomial whose zeros are 3 and -4