1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
stepan [7]
3 years ago
9

Find the product of (2x − 3)(2x2 7x − 1). 4x3 − 6x2 − 9x 3 4x3 8x2 − 23x 3 4x3 20x2 − 9x 3 4x3 − 6x2 − 23x 3.

Mathematics
1 answer:
wlad13 [49]3 years ago
8 0

Product of polynomials can be done by distribution of multiplication over addition. The product of  (2x - 3)(2x^2 + 7x  - 1) is 4x^3 + 8x^2 -23x + 3

<h3>What is distributive property of multiplication over addition?</h3>

Suppose a, b and c are three numbers. Then we have:

a(b + c) = a\times b + a\times c

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The product result of the given expression is

(2x - 3)(2x^2 + 7x  - 1)  = 2x(2x^2 + 7x  - 1) -3(2x^2 + 7x  - 1) \\(2x - 3)(2x^2 + 7x  - 1)  = 4x^{1+2} + 14x^2 -2x - 6x^2 - 21x + 3\\(2x - 3)(2x^2 + 7x  - 1)   = 4x^3 + (14 -6)x^2 + (-2 -21)x + 3\\(2x - 3)(2x^2 + 7x  - 1)   = 4x^3 + 8x^2 -23x + 3

It is because when bases are same and there is multiplication, then powers add up, so we have: a^b \times a^c = a^{b+c}

Also, we've

(-ve \times (+ve) = -ve\\(-ve) \times (-ve) = +ve\\(+ve) \times (+ve) = +ve\\(+ve) \times (-ve) = -ve

where -ve, +ve are sign of operands and result.

That's why 2 \times -1 = -2

Thus,

The product of   (2x - 3)(2x^2 + 7x  - 1)  is 4x^3 + 8x^2 -23x + 3

Learn more about product of polynomials here:

brainly.com/question/9106484

You might be interested in
Which number produces
Dvinal [7]

Answer:

A is the answer.

Step-by-step explanation:

A fraction plus a fraction is equal to a fraction. An irrational number cannot be expressed as a fraction.

0.3333333 even though it looks like an irrational number it is actually: 1/3

3/5 is already a fraction so adding it with another fraction will NOT equal an irrational number (decimal)

-0.75 is equal to -3/4 (75/100 => 3/4). Same thing that applies above.

However, Pi cannot be expressed as a fraction exactly. You can round up like 3.14. However it is not the full number. So 3.141592654....+(3/4) is not going to add up perfectly into a fraction.

In short, a fraction is a rational number. Rational + Rational = Rational. Irrational + Rational = Irrational.

3 0
3 years ago
Read 2 more answers
I understand this.....
Andru [333]
24*22=528 square feet
3 0
4 years ago
Read 2 more answers
The perimeter of a triangle is 70 in. The shortest side is 11 in. less than the longest side. The middle side is 24 in. less tha
kondor19780726 [428]

Answer:

The sides are

6

inches,

8

inches and

10

inches

Explanation:

I'd suggest that the question should read 'The perimeter of a triangle is 24 inches. The longest side is 4 inches longer than the shortest side, and the shortest side is three-fourths the length of the middle side. How do you find the length of each side of the triangle?'

In this case the question can be answered. If

x

is the length of the middle side, then the shortest side is 3/4x and the longest side is 3/4x+4

x+3/4x+3/4x+4=24

10/4x=20

x=8

Then the shortest side is 6and the longest side is 10

Step-by-step explanation:

4 0
3 years ago
Solve. <br> x^2-15x+50<br><br> (x-5)(x+10)<br> (x+5)(x+10)<br> (x-10)(x-5)<br> (x-10)(x+5)
fgiga [73]
C.)<span>(x-10)(x-5)
and that is grouping the factors </span>
7 0
4 years ago
Which of the following has a graph that is a straight line?
Amiraneli [1.4K]
y = 2x + 7 because it's a linear function.
5 0
3 years ago
Read 2 more answers
Other questions:
  • Write the point slope form of the equation of the line through the given points
    6·1 answer
  • Draw a picture to show commutative property of addition for 300 + 400 = 400 + 300
    13·2 answers
  • There are 363 students at Meadowbrook High School. There are 10 more
    15·1 answer
  • If it cost 16.50 for 6 shirts how much would it cost for just one shirt?
    11·2 answers
  • Please help ! It's timed!
    12·1 answer
  • Sally spent half of her allowance going to the movies. She washed the family
    9·1 answer
  • Use the following function rule to find f(-7).<br> f(x) = 9x - 7<br> O 70<br> O-56<br> 0 -70<br> 56
    7·1 answer
  • C
    13·1 answer
  • Find the length of arc AD. Use 3.14 for .
    7·1 answer
  • Need help 20 points please
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!