All categories

2 years ago

Two is a zero of the equation x3−x2−14x+24=0. Which factored form is equivalent to the equation?

Mathematics

1 answer:

ValentinkaMS [17]2 years ago

3 0

Answer:

The answer to your question is: letter A

Step-by-step explanation:

x³ - x² - 14x + 24 = 0

If two is a zero of the polynomial, then x = 2, divide the polynomial by 2.

Synthetic division

1 - 1 - 14 + 24 2

2 2 -24

1 1 -12 0

Result x² + x - 12 = 0

Factor the polynomial, find two numbers that multiply gives -12 and added gives + 1.

These numbers are + 4 and - 3

+4 - 3 = +1

(+4)(-3) = -12

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

Finally

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

You might be interested in

Analyze the diagram to complete the statements. The m∠MXN is the m∠YZX. The m∠LZX is the m∠ZYX + m∠YXZ. The m∠MYL is 180° − m∠ZY

Xelga [282]

By using the picture that was provided below, you can see that

m<MXN is greater than m<YZX.

Angles m<LZX is equal to m<ZYX + m<YZX and

m<MYL is equal to 180 degrees minus M<ZYX.

I hope this helps! Have a good day

8 0

2 years ago

Read 2 more answers

Two students from a group of eight boys and 12 girls are sent to represent the school in a parade. If the students are chosen at

kari74 [83]

Answer:

Step-by-step explanation:

* Lets explain how to find the probability of an event

- The probability of an Event = Number of favorable outcomes ÷ Total

number of possible outcomes

- P(A) = n(E) ÷ n(S) , where

# P(A) means finding the probability of an event A

# n(E) means the number of favorable outcomes of an event

# n(S) means set of all possible outcomes of an event

- Probability of event not happened = 1 - P(A)

- P(A and B) = P(A) . P(B)

* Lets solve the problem

- There is a group of students

- There are 8 boys and 12 girls in the group

∴ There are 8 + 12 = 20 students in the group

- The students are sent to represent the school in a parade

- Two students are chosen at random

∴ P(S) = 20

- The students that chosen are not both girls

∴ The probability of not girls = 1 - P(girls)

∵ The were 20 students in the group

∵ The number of girls in the group was 12

∴ The probability of chosen a first girl = 12/20

∵ One girl was chosen, then the number of girls for the second

choice is less by 1 and the total also less by 1

∴ The were 19 students in the group

∵ The number of girls in the group was 11

∴ The probability of chosen a second girl = 11/19

- The probability of both girls is P(1st girle) . P(2nd girl)

∴ The probability of both girls = (12/20) × (11/19) = 33/95

- To find the probability of both not girls is 1 - P(both girls)

∴ P(not both girls) = 1 - (33/95) = 62/95

* The probability that the students chosen are not both girls is 62/95

3 0

2 years ago

Read 2 more answers

Jaleel and Lisa are simplifying the expression 2 (x minus 2) + 2 as shown. Jaleel’s Method 2 (x minus 2) + 2 = 2 x minus 4 + 2 =

Art [367]

Answer:

(D)Jaleel's method is correct because 2(x-2)=2x-4.

Step-by-step explanation:

Jaleel and Lisa are simplifying the expression 2(x-2)+2 as shown.

$J$aleel's Method: \left\{\begin{array}{ccc}2 (x -2) + 2 \\= 2 x - 4 + 2 \\= 2 x - 2\end{array}\right$

$L$isa's Method: \left\{\begin{array}{ccc}2 (x-2) + 2 \\= 2 x -2 + 2 \\= 2 x\end{array}\right$

We can see that Jaleel's method is correct because:

2(x-2)=2x-4.

When you expand, you must multiply the term outside by all the terms inside the bracket.

The correct option is D.

6 0

2 years ago

Read 2 more answers

Which represents the polynomial written in standard form?

pshichka [43]

Answer:

Option A.

Step-by-step explanation:

In order to write any polynomial in standard form, we need to check the degree of each term, then write each term in order of degree, from highest to lowest, left to right.

The given polynomial is

$8x^2y^2-\dfrac{3x^3y}{2}+4x^4-7xy^3$

Here, the combine degree of x and y in each term is 4.

If we arrange the terms according to the degree of x, then

$4x^4-\dfrac{3x^3y}{2}+8x^2y^2-7xy^3$

If we arrange the terms according to the degree of y, then

$-7xy^3+8x^2y^2-\dfrac{3x^3y}{2}+4x^4$

Hence, the correct option is A.

3 0

2 years ago

Read 2 more answers

Consider the system of inequalities and its graph. y ≤ –0.75x y ≤ 3x – 2 On a coordinate plane, 2 solid straight lines are shown

ella [17]

Answer:

Step-by-step explanation:

the answer is 4 so d on edge .

8 0

2 years ago

Read 2 more answers