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
vlada-n [284]
3 years ago
11

Match each polynomial with its correct factoring method. You will use each factoring method only once!

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

Answer:

1. 16x2−40x+25

Perfect Square Trinomial

2. x2−2x−8

Trinomial when A>1

3. 3x2+6xy+9xy2

Greatest Common Factor (GCF)

4. 64x2−100

Difference of Squares

5. 27x3+8y6

Sum of Cubes

6. 64x9−y3

Difference of Cubes

7. 6x2+19x+15

Trinomial when A=1

8. 6x3+3x2+8x+4

Grouping

Step-by-step explanation:

A trinomial is a polynomial which has three terms.

1. 16x2−40x+25

(4x)2 - 2(4x)(5) + (5)2

= (4x-5)2

Perfect Square Trinomial

2. x2−2x−8

= x2 - 4x+2x-8

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

= (x+2)(x-4)

Trinomial when A>1 ( when we will put x= 1 we will get a negative value)

3. 3x2+6xy+9xy2

=3x(x+2y+3y2)

(3x is common)

Greatest Common Factor (GCF)

4. 64x2−100

= (8x)2- (10)2

= (8x-10)(8x+10)

Difference of Squares

5. 27x3+8y6

=(3x)3+(2y2)3

= (3x+2y)(6x2-6xy+4y2)

Sum of Cubes

6. 64x9−y3

= (4x3)3- (y)3

Difference of Cubes

7. 6x2+19x+15

= 6x2 + 9x + 10x + 15

= 3x( 2x+3) + 5(2x+3)

= (2x+3)(3x+5)

Trinomial when A=1

8. 6x3+3x2+8x+4

Grouping

Grouping usually has four or more terms

6x3+3x2+8x+4

=3x2(2x+1) + 4(2x+1)

=(3x2+4) (2x+1)

You might be interested in
You randomly choose one of the marbles. Without replacing the first marble, you choose a second marble. There are 4 marbles. One
BartSMP [9]
6 Possible outcomes.
this is a combination problem the order of drawing a marble is not important because red, blue would be the same outcome as blue, red. 
the combination formula is as follows.
nCr= \frac{n!}{r!(n-r)!}
plug in 4 for n and 2 for r.
nCr= \frac{4!}{2!(4-2)!} =6

7 0
3 years ago
Read 2 more answers
3 miles- ___ feet<br> 3640 yards-__ feet<br> !Answer This!
dexar [7]
The answer is 15840 and 10920
7 0
3 years ago
What value of a in the equation ax − 4 = 2y would give a line with a slope of 2?
sukhopar [10]

Answer:

a=4

Step-by-step explanation:

ax − 4 = 2y

We need to get the equation is slope intercept form  y= mx+b.

Lets solve for y

Divide each side by 2

a/2 x - 4/2 = 2y/2

a/2 x -2 = y

or y=a/2 x -2

The slope is a/2 and the y intercept is -2

We want a slope of 2  so a/2 =2

a/2=2

Multiply each side by 2

a/2 * 2 =2*2

a =4

3 0
3 years ago
Find the length of the mid segment.
GrogVix [38]

Answer:

42 or B

Step-by-step explanation:

So the top triangle is similar to the whole triangle by AA similarity. It has a ratio of 1:2. So 4x+2:4x+44 is 1:2. So 8x+4=4x+44. Simplifying, we get 4x=40 or x=10 So 4x+2=42

5 0
3 years ago
Ben bought a digital camera for $90. The tax rate is 6%. What is the total amount Ben paid for the digital camera?
Otrada [13]
I'm pretty sure it would be 95.40. Because 90 x 6%= 5.40 add that to 90
5 0
3 years ago
Read 2 more answers
Other questions:
  • On a coordinate plane, a curved line crosses the x-axis at (negative 1, 0) and crosses the y-axis at (0, 0.25). The line exits t
    7·2 answers
  • You have $20 gift card from a bookstore that you use to buy two books for $18.49. The sales tax is 5.75%. Will the gift card cov
    14·1 answer
  • The graph of the function f is shown. the do.ain of f is [0,50]. what is the range of g(x) = 4f(x)
    13·1 answer
  • FOR THE THE LOVE OF GOD SOME ONE PLZ HELP ME WITH THIS PLZ!!!
    13·1 answer
  • Multiply ( × - 2 ) ( 3× + 4) using distribution method​
    12·1 answer
  • If an angle is an acute angle, then it measures to 87° write this in a converse sentence
    11·1 answer
  • pls answer this Explain when you would use miles versus when you would use inches to reference a length measurement.
    8·1 answer
  • How would I graph 3x−y=1 ?
    7·1 answer
  • 100 POINTS PLEASE ANSWER
    9·1 answer
  • Given MTS and SQP, find sq
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!