Quadrilateral qrst is a square what is pst

What must be a factor of the polynomial function fx) graphed on the coordinate plane below?

Reptile [31]

See in the explanation

<h2>Explanation:</h2>

Hello! Recall that you need to write complete questions in order to get good and precise answers. However, I'll try to explain this problem in a general way. The definition of polynomial functions states:

$A \ \mathbf{polynomial \ function} \ of \ x \ with \ degree \ n \ is \ given \ by:\\ \\ f(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+\ldots +a_{2}x^{2}+a_{1}x+a_{0} \\ \\ where \ n \ is \ a \ nonnegative \ integer \ and \ a_{n}, a_{n-1}, \ldots a_{2}, a_{1}, a_{0} \\ with \ a_{n}\neq 0$

Suppose we have the following polynomial function:

$f(x)=x^3+x^2-8x-12$

If $(x-3)$ is a factor of this polynomial function, we can write $f(x)$ as:

$f(x)=\left(ax^2+bx+c\right)\left(x-3\right)$

In whose case:

$f(3)=0$

Evaluating $x=3$

$f(x)=x^3+x^2-8x-12 \\ \\ f(3)=3^3+3^2-8(3)-12 \\ \\ f(3)=27+9-24-12 \\ \\ f(3)=32-32 \\ \\ f(3)=0$

So in conclusion:

$(x-3) \ is \ a \ factor \ of \ f(x)=x^3+x^2-8x-12$

The graph is shown below and is consistent with our conclusion.

<h2>Learn more:</h2>

Complex zeros: brainly.com/question/13728954

#LearWithBrainly

8 0

3 years ago

What are the factors of 16

sergey [27]

1,2,4,8,16 Them are the answers for the factors

8 0

3 years ago

An isosceles triangle whose equal sides measure 8 and whose altitude drawn to the base measures 8

viva [34]

The question is incomplete, the complete question is here

Find the measures of the angles of an isosceles triangle whose equal sides measure 8 and whose altitude drawn to the base measures 4

Answer:

The measures of the angles of the isosceles triangle are 30°, 30° and 120°

Step-by-step explanation:

In a triangle whose sides a, b, c and angles A, B and C, where a is opposite to ∠A, b is opposite to ∠B, and c is opposite to ∠C, the given is

a = c
m∠A = m∠C

The height from ∠B to side b is 4 units

That means the length of the height is half the length of each equal sides, then there is a right triangle its hypotenuse is 8 and the side opposite to the base angle is 4, so we can find the measure of the base angle by using the rule sin(base angle) = $\frac{altitude}{a}$

∵ The base angles are ∠A and ∠C

∵ a = c = 8

∵ The altitude to b is 4

∵ $sin(A)=\frac{4}{8}=\frac{1}{2}$

- By using $sin^{-1}$

∴ m∠A = $sin^{-1}(\frac{1}{2})$

∴ m∠A = 30°

∵ m∠A = m∠C

∴ m∠C = 30°

Use the rule of the sum of the measures of the interior angle of a Δ is 180° to find m∠B

∵ m∠A + m∠C + m∠B = 180

∵ m∠A = m∠C = 30°

∴ 30° + 30° + m∠B = 180°

∴ 60 + m∠B = 180

- Subtract 60 from both sides

∴ m∠B = 120°

The measures of the angles of the isosceles triangle are 30°, 30° and 120°

5 0

3 years ago

At Delia’s company, the purchases are recorded at net amounts. On August 5, $40,000 worth of merchandise was purchased on accoun

Kay [80]

Answer:

$2,940

Step-by-step explanation:

Data provided in the question:

Cost of merchandise purchased = $40,000

Cost of merchandise returned = $3,000

Terms = 2/10, n/30

Now,

The amount that will be recorded as the purchase return

= Cost of merchandise returned - Discount on cost of merchandise

= $3,000 - ( 2% of $3,000 )

= $3,000 - ( 0.02 × $3,000 )

= $3,000 - $60

= $2,940

6 0

4 years ago

Number 13. Multiply please.

Dafna11 [192]

$(x-y)^2 \\\\\\= (x-y)(x-y)\\\\= x * x + (x)(-y)+(-y)(x) +(-y)(-y)\\\\ = x^2 -xy-xy + y^2\\\\=x^2-2xy + y^2$

Hope that helps!

8 0

2 years ago