Multiplying a trinomial by a trinomial follows the same steps as multiplying a binomial by a trinomial. Determine the degree and maximum possible number of terms for the product of these trinomials: (x2 + x + 2)(x2 – 2x + 3).HOW DO I Explain how it arrived at your answer?

Answers

Answer 1

Answer:

The correct answer is:

The degree of the polynomial is 4 and the maximum number of terms is 9.

Explanation:

Multiplying the terms of each trinomial that have the largest degree, we are multiplying x²(x²); this gives us x⁴. This means the degree of the trinomial, the largest degree of all terms, is 4.

Without multiplying through, we know we will multiply each term of the first trinomial by each term of the second one. This means that, if no terms are like to combine, we could have 3(3) = 9 terms.

Answer 2

Answer: For this case we have the following trinomial product:
$(x ^ 2 + x + 2) (x ^ 2 - 2x + 3)$
By doing distributive property we have:
$(x ^ 4 - 2x ^ 3 + 3x ^ 2) + (x ^ 3 - 2x ^ 2 + 3x) + (2x ^ 2 - 4x + 6)$
Grouping similar terms we have:
$x ^ 4 + x ^ 3 (-2 + 1) + x ^ 2 (3-2 + 2) + x (3-4) + (6)$
Adding terms of the same exponent we have:
$x ^ 4 - x ^ 3 + 3x ^ 2 - x + 6$
Answer:
$x ^ 4 - x ^ 3 + 3x ^ 2 - x + 6$
The degree of polynomial is equal to 4
The maximum number of terms is equal to 5.

Related Questions

1.What is the value of p – (–3.5) when p = 8.2?
Use the quadratic formula to determine the exact solutions to the equation. 6x^2+4x-3=0X=_____. Or x=_______
A contraction crew has just finished building a road . The road is 10 kilometers long if the crew worked for 3 3/4 days how many kilometers of road did they build each day
How do you work out 3x+7-6x=5x-1
Which of these statements is most accurate regarding mortgage payments through the life of your loan? a. At the beginning of your loan, your payments are covering mostly interest. At the end of your loan, your payments are covering mostly principal. b. The amount for your mortgage payments will decline over the life of your loan. c. The amount of interest paid per mortgage payment will remain the same over the life of your loan. d. The amount of principal paid per mortgage payment will decrease over the life of your loan.

A and B are independent events. Which equation below must be true?A. P(A) = P(B)
B. P(A | B) = P(A)
C. P(A ∩ B) = P(A)
D. P(B) = P(A | B)

Answers

The correct answer for this question is B. P(A | B) = P(A). Another equation used for independent events is P(B | A) = P(B). When the multiplication rule is applied, this gives an alternative definition of independence which is:

P(A ∩ B) = P(A)*P(B)

Independent events are events that can occur without affecting or changing the probability of the other.

Answer with Step-by-step explanation:

A and B are independent events.

Then, we have to find,which equation below must be true.

A. P(A) = P(B)

No, this is not true, example

A: Occurence of 1 in rolling a die P(A)=1/6

B: occurence of an even number on rolling a die P(B)=1/2

B. P(A | B) = P(A)

This is true

since, P(A|B)+P(A)/P(A∩B) and, P(A∩B)=P(A)P(B)

C. P(A ∩ B) = P(A)

This is not true

since, P(A∩B)=P(A)×P(B)

D. P(B) = P(A | B)

This is not true

Which statement explains one way that ponds and lakes differ?Ponds are shallower than lakes.

Ponds are larger than lakes.

Pond water moves more than lake water.

Lakes have more plants at the bottom than ponds.

Answers

The statement that explains one way that ponds and lakes differ is: Ponds are shallower than lakes.

Ponds and Lakes

The major difference between ponds and lakes are ponds are :

Pond are depth or shallower and smaller than lakes while lakes are larger or bigger.

Lakes are more deeper compare to ponds which inturn means that ponds are not deeper than lakes.

Inconclusion the statement that explains one way that ponds and lakes differ is: Ponds are shallower than lakes.

Learn more about ponds and lakes here:brainly.com/question/131190

Answer:

Ponds are shallower than lakes.

Step-by-step explanation:

Write an equation of a line with the given slope and y-intercept. m = –2, b = 4

Answers

Answer:

$y=-2x+4$

Step-by-step explanation:

The given data is

$m=-2$

$b=4$

Where $m$ is the slope of the line and $b$ is the y-intercept. So, basically this line has a slope of -2 and y-intercept at 4.

To find its equation, we use the slope-interception form

$y=mx+b$

Then, we replace each given value

$y=-2x+4$

Therefore, the equation for the given line is

$y=-2x+4$

y= -2x+4 m represents the x value and b the y intercept

sherry had $125.05 in her checking account She made deposit of $28.35 and $78.88 how much money was in sherry account after the deposit

Answers

Answer:

$17.82

Step-by-step explanation:

$125.05 - 28.35 = 96.7 \n 96.7 - 78.88 = 17.82$

Answer: $232.48

Step-by-step explanation: an equation you could use would be:

125.25+(28.35+78.88)

Add parentheses: 28.35+78.88= 107.23

Add the rest: 125.25+107.23= 232.48

An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lines, removing the corners, and then folded up on the dotted lines. The box needs to have the MAXIMUM volume possible. How long should the cuts be?A) 1.5 in.
B) 5.8 in.
C) 52 in.
D) 80 in.

Answers

Answer:

correct answer is A

Step-by-step explanation:

1.5 in

b) I think because it's 8 by 10

The school you want to go to has an acceptance rate of 12%. That means that 12% of the students who apply to the school get in. The school took in 2,400 students last year. How many students applied?

Answers

Answer:

The total number of students who have applied for the admissions in the school last year = 20000

Step-by-step explanation:

The school you want to go to has an acceptance rate of 12%.

⇒ 12% of the students who apply to the school get in

Now, Total number of students that are being selected = 2400

We need to find the total number of students those who have applied for the admission

Let the number of students who have applied for the admission be x

Now, using the condition given in the problem, we have :

12% of x = 2400

⇒ 0.12 × x = 240

⇒ x = 20000

Thus, The total number of students who have applied for the admissions in the school last year = 20000

The answer is 20,000.

2,400 Divided by .12 equals 20,000.

2,400 / .12 = 20,000.

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NEED ANSWER ASAP!! WILL GIVE POINTS AND MARK AS BRAINLIEST!!!