MATHEMATICS HIGH SCHOOL

Find the product of (4x − 3)(2x2 − 7x + 1).8x3 − 22x2 + 17x− 3

8x3 + 8x2 + 4x − 3

8x3 − 34x2 + 25x − 3

8x3 − 42x2 + 25x − 3

Find the product of 2x4(4x2 + 3x + 1).

8x6 + 6x5 + 2x4

8x8 + 3x4 + 2x4

2x4 + 6x5 + 8x6

6x6 + 5x5 + 3x4

Which statement shows that when two polynomials 4x + 6 and 2x2 − 8x demonstrates the closure property when multiplied?

8x3 − 20x2 − 48x is a polynomial

8x3 − 20x2 + 48x may or may not be a polynomial

8x2 − 32x2 − 14x is a polynomial

8x3 − 32x2 + 14x may or may not be a polynomial

Answers

Answer 1

Answer:

The correct answers are:

(1) $~8x^3 -34x^2 + 25x -3 ~~$ (Option C)

(2) $~ 8x^(6) + 6x^(5) + 2x^4 ~~$ (Option A)

(3) $~ 8x^3 - 20x^2-48x ~~$ is a polynomial (Option A)

Explanations:

(1) Given Expression:

$(4x-3)(2x^2-7x + 1)$

Now simplify as follows:

$4x(2x^2 - 7x + 1) - 3(2x^2 - 7x + 1) \n8x^3 - 28x^2 + 4x - 6x^2 + 21x - 3 \n8x^3 -34x^2 + 25x -3$

Therefore, the correct answer is $8x^3 -34x^2 + 25x -3$ (Option C)

(2) Given Expression:

$2x^4(4x^2 + 3x + 1)$

Now simplify as follows:

$2x^4(4x^2 + 3x + 1) \n2x^4(4x^2) + 2x^4(3x) + 2x^4(1) \n8x^((4+2)) + 6x^((4+1)) + 2x^4 \n8x^(6) + 6x^(5) + 2x^4$

Therefore, the correct answer is $8x^(6) + 6x^(5) + 2x^4$ (Option A)

(3) Given Data:

Polynomial one: 4x + 6

Polynomial two: $2x^2-8x$

First multiply both polynomials:

$(4x + 6) * (2x^2-8x) \n(4x) * (2x^2-8x) + (6) * (2x^2-8x) \n8x^3-32x^2+12x^2-48x \n8x^3-20x^2-48x$

Now as we can see, if we multiply two polynomials, the resultant expression is also a polynomial. Therefore, it does demonstrate the closure property (closed set). Hence, the correct answer is $8x^3-20x^2-48x ~~$ (Option A)

Answer 2

Answer: 1. The correct answer among the choices provided is 8x3 − 34x2 + 25x − 3.
2. The correct answer among the choices provided is 8x6 + 6x5 + 2x4.
3. The correct answer among the choices provided is 8x3 − 20x2 − 48x. It is a polynomial.

Related Questions

The endpoint of MP are M(2,1) and P(14,10). If point K partitions MP in aratio of MK:KP=3:2, what are the coordinates of K?
70 ans 20 in simplest fore in ratios
What is the least number that has 4 odd factors that are all the same? Each factor is greater than 1 and can have only 1 itself as factors
A trapezoid has symmetry with respect to the median of the trapezoid.True or False
Let A = {10, 20, 30, 40, 50, 60} and B = {10, 40, 60}. What is A ∩ B?{10, 40} {40, 60} {10, 40, 60} {10, 20, 30, 40, 50, 60}

Solve: (6x^3 - 1x^2 + 1) divided by (2x + 1)a. -3x^2 + 2x -1
b. 3x^2 - 2x + 1
c. -3x^2 + 2x - 1
d. 3x^2 2x - 1

Answers

The Simplified answer would be b. 3x^2 - 2x + 1

What is the domain of the function f(x) = 4x − 16?

Answers

All real numbers equal to or greater than 4
Interval Notation: [4,∞)

An ounce of silver is worth $20.16 per ounce. How much is 13.5 ounces of silver worth?

Answers

Answer:

13.5 ounces of silver is worth $272.16

Step-by-step explanation:

since it is $20.16 per ounce, simply multiply 20.16 and 13.5 to get 272.16

Step-by-step explanation:

Times 20.16 by 13.5 and you will get 272.16

The equation of line k is y=-1/5x -1/8. What is the equation of the line that is perpendicular to line k and passes through (0,0)?

Answers

y=-1/5 x-1/8
Gradient, m= -1/5
A line perpendicular will be;
m=15
y=mx+c
Replacing for x and y;
0=5(0)+c
c=0
y=5x

Please help this is timedWhat is the solution to this system of equations?
3.2x+0.5y = 42
-1.6x-0.5y = 3.4
O (4.75, 38.8)
O (4.75, -22)
no solution
infinitely many solutions

Answers

The answer I’d (4.75, -22)

Find the solution if x=6, y=8, and z=3
2x + 3y - z

Answers

Answer:

Step-by-step explanation:

2(6) + 3(8) - 3

12 + 24 + - 3 = 33

Answer:

Step-by-step explanation:

2(6) +3(8) -3

Other Questions

Find the sum or difference. (3a – 3a^2) + (5 + 8a)A: a^2 + 11a + 5B: –3a^2 + 11a + 5C: 3a^2 + 11a + 5D: –3a^2 + 11a – 5

at the flower shop, there are 5 times as many roses as sunflowers. if there are 252 roses and sunflowers altogether, how many roses are there? how many sunflowers are there?

1+4=5, 2+5=12, 3+6=21, 8+11?

What is the degree of each monomial? 7m6n5