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
Hatshy [7]
2 years ago
14

What is the product?

Mathematics
2 answers:
madreJ [45]2 years ago
6 0

Answer:

The product is 2x³ - 11x² + 16x - 3 ⇒ 3rd answer

Step-by-step explanation:

* Lets explain how to find the product of binomial by trinomial

- If (ax² ± bx ± c) and (dx ± e) are trinomial and binomial, where

 a , b , c , d , e  are constant, their product is:

# Multiply (ax²) by (dx) ⇒ 1st term in the trinomial and 1st term in the  

 binomial

# Multiply (ax²) by (e) ⇒ 1st term in the trinomial and 2nd term in

the binomial

# Multiply (bx) by (dx) ⇒ 2nd term the trinomial and 1st term in  

the binomial

# Multiply (bx) by (e) ⇒ 2nd term in the trinomial and 2nd term in    the binomial

# Multiply (c) by (dx) ⇒ 3rd term in the trinomial and 1st term in  

 the binomial

# Multiply (c) by (e) ⇒ 3rd term the trinomial and 2nd term in  

the binomial

# (ax² ± bx ± c)(dx ± e) = adx³ ± aex² ± bdx² ± bex ± cdx ± ce

- Add the terms aex² and bdx² because they are like terms

- Add the terms bex and cdx because they are like terms

* Now lets solve the problem

∵ The binomial is (x - 3) and the trinomial is (2x² - 5x + 1)

∴ (x)(2x²) = 2x³

∵ (x)(-5x) = -5x²

∵ (x)(1) = x

∵ (-3)(2x²) = -6x²

∵ (-3)(-5x) = 15x

∵ (-3)(1) = -3

∴ (x - 3)(2x² - 5x + 1) = 2x³ + -5x² + x + -6x² + 15x + -3

- Add the like terms

∵ -5x² and -6x² are like term

∴ Their sum is -11x²

∵ x and 15 x are like terms

∴ Their sum = 16x

∴ (x - 3)(2x² - 5x + 1) = 2x³ - 11x² + 16x - 3

* The product is 2x³ - 11x² + 16x - 3

svlad2 [7]2 years ago
4 0

Answer:

Third option: 2x^3-11x^2+16x-3

Step-by-step explanation:

The product to be found is:

(x-3)(2x^2-5x+1)

Distributive property will be used for the product:

x(2x^2-5x+1)-3(2x^2-5x+1)\\

Multiplication will give us:

=2x^3-5x^2+x-6x^2+15x-3\\Combining\ alike\ terms\\=2x^3-5x^2-6x^2+x+15x-3\\=2x^3-11x^2+16x-3

The product is: 2x^3-11x^2+16x-3

Hence, third option is the correct answer ..

You might be interested in
Can someone please please help me please
Olenka [21]
I’m not sure, but I think you divide 360 by each one of those angles.
8 0
3 years ago
Solve using foil method (x+9)(x+9)
Fudgin [204]
X^2+9x+9x+81
x^2+18x+81
for factoring it
3 0
3 years ago
400 people were asked if they liked their school lunch.10% said yes. 32 of those that said yes were boys.152 of those that were
lbvjy [14]

Using proportions, considering the total number of students, it is found that 216 boys to linking their school lunch.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, 400 - 152 = 248 boys were surveyed. 32 said they liked the school lunch and 248 - 32 = 216 said no liking their school lunch.

More can be learned about proportions at brainly.com/question/14398287

#SPJ1

6 0
1 year ago
What is a prime factor?
iren [92.7K]
Prime factors are factors of a number that are, themselves, prime numbers. There are many methods to find the prime factors of a number, but one of the most common is to use a prime factor tree.
7 0
3 years ago
Read 2 more answers
The easiest way to find THE SLOPE on a graph? Please HELP
ratelena [41]

Step-by-step explanation:

Pick two points on the line and determine their coordinates

Select one to be (x1, y1) and the other to be (x2, y2)

Finally use the slope intersect equation to calculate the slope:

<em>Formula-</em><em> </em>

<em>y = mx + b </em>

<em></em>

Hope this helps, let me know if you need more information, I'll be glad to help! :)

3 0
2 years ago
Other questions:
  • Factors of 48 that add to equal 26
    6·1 answer
  • Help me with this please don’t understand need answers please !
    15·1 answer
  • Need answers for Question 8 and 9
    6·2 answers
  • Calculate the density of a 6.75 g solid with a volume of 5.35cm3
    12·1 answer
  • You have a job selling snow cones. You need to fill each cone with ice. Each cone has a radius of 3 centimeters and a height of
    5·2 answers
  • 7 1/2 divided by 1 2/3
    7·2 answers
  • A sequence can be generated by using an=an−1+9, where a1=−5 and n is a whole number greater than 1. What are the first four term
    11·1 answer
  • Solve the following equation algebraically show the steps: <br><br><br> n/3 -5 = 5
    14·1 answer
  • HELP ME OUT PLEASE!!!!​
    6·1 answer
  • . PLEASE THIS IS A BIG TEST HELP FAST
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!