Practice factoring binomials

Practice factoring binomials DEFAULT

Factoring Binomials - Difference of Squares

Related Topics: More Algebra Lessons
Algebra Games



Objective: I can factor binomials that are difference of squares.

A difference of squares is a binomial of the form:

a2b2

Take note that the first term and the last term are both perfect squares.

When we factor a difference of two squares, we will get

a2b2 = (a + b)(a – b)

This is because (a + b)(a – b) = a2ab + ab – b2 = a2b2

Read the lesson on Difference of Squares if you need more information.

Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!


Factoring Binomials Calculator
Type in the binomial and select factor.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Mathway Calculator Widget


Google
OML Search

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.


Sours: https://www.onlinemathlearning.com/factoring-binomials.html
Show Mobile NoticeShow All Notes Hide All Notes

You appear to be on a device with a "narrow" screen width (i.e. you are probably on a mobile phone). Due to the nature of the mathematics on this site it is best views in landscape mode. If your device is not in landscape mode many of the equations will run off the side of your device (should be able to scroll to see them) and some of the menu items will be cut off due to the narrow screen width.

Section 1-5 : Factoring Polynomials

For problems 1 – 4 factor out the greatest common factor from each polynomial.

  1. \(6{x^7} + 3{x^4} - 9{x^3}\) Solution
  2. \({a^3}{b^8} - 7{a^{10}}{b^4} + 2{a^5}{b^2}\) Solution
  3. \(2x{\left( {{x^2} + 1} \right)^3} - 16{\left( {{x^2} + 1} \right)^5}\) Solution
  4. \({x^2}\left( {2 - 6x} \right) + 4x\left( {4 - 12x} \right)\) Solution

For problems 5 & 6 factor each of the following by grouping.

  1. \(7x + 7{x^3} + {x^4} + {x^6}\) Solution
  2. \(18x + 33 - 6{x^4} - 11{x^3}\) Solution

For problems 7 – 15 factor each of the following.

  1. \({x^2} - 2x - 8\) Solution
  2. \({z^2} - 10z + 21\) Solution
  3. \({y^2} + 16y + 60\) Solution
  4. \(5{x^2} + 14x - 3\) Solution
  5. \(6{t^2} - 19t - 7\) Solution
  6. \(4{z^2} + 19z + 12\) Solution
  7. \({x^2} + 14x + 49\) Solution
  8. \(4{w^2} - 25\) Solution
  9. \(81{x^2} - 36x + 4\) Solution

For problems 16 – 18 factor each of the following.

  1. \({x^6} + 3{x^3} - 4\) Solution
  2. \(3{z^5} - 17{z^4} - 28{z^3}\) Solution
  3. \(2{x^{14}} - 512{x^6}\) Solution
Sours: https://tutorial.math.lamar.edu/problems/alg/factoring.aspx
  1. Say yeah gas bike
  2. Abstract face easy
  3. Calm water wallpaper
  4. Kia dealership norman

Factoring practice

Factor the following polynomials (as fully as possible).
  1. x2 + 3 x - 10
  2. x2+ 2 x - 24
  3. x2- 9 x + 18
  4. 2 x2 - 5 x - 12
  5. x2+ 4 x + 6
  6. 3 x2+ 5 x + 2
  7. x2 + 1.5 x - 10
  8. x2- x + 9
  9. 8 x2- 62 x + 99
  10. 24 x2- 22 x - 35
  11. 2x3+ 3 x2- 17 x - 30
  12. x3- 3 x2- x + 3
  13. x3+ 4 x2- 7 x + 2
  14. 18 x3- 57 x2- 85 x + 100




 

Answers

  1. (x - 2) (x + 5)
  2. (x - 4) (x + 6)
  3. (x - 3) (x - 6)
  4. (x - 4) (2 x + 3)
  5. It is as factored as it gets.
  6. (3 x + 2) (x + 1)
  7. (2 x + 5) (0.5 x - 2)
  8. It is as factored as it gets.
  9. (4 x - 9) (2 x - 11)
  10. (4 x - 7) (6 x + 5)
  11. (x - 3) (2 x + 5) (x + 2)
  12. (x - 1) (x + 1) (x - 3)
  13. (x - 1) (x2 + 5 x - 2) is as factored as it gets.
  14. (x - 4) (3 x + 5) (6 x - 5)
Sours: http://webspace.ship.edu/deensley/m100/ws5.html
Factoring Binomials - Step by Step - Part 2

Worksheet on Factoring Binomials

Practice the worksheet on factoring binomials to know how to find the common factor from the binomials. For factoring the binomials we need to find the common factor in each term so that we can find out the common factor.

Note: To practice factoring binomials recall the reverse method of distributive law means in short nu-distributing the factor.

1. Factorize the following binomials:

(i) 3a + 21                                      

(ii) 7m – 14 

(iii) y3+ 3y

(iv) 20x + 5x2

(v) – 16x + 20x3

(vi) 5x2y + 15xy2



(vii) 9a2+ 5a

(viii) 19a – 57b

(ix) 25a2b2c3– 15ab3c

2. Factor each of the following algebraic expression:

(i) 13n + 39                                                   

(ii) 19y - 57z

(iii) 21xy + 49xyz  

(iv) – 16p + 20p3

(v) 12x2y – 42xyz

(vi) 27a3b3+ 36a4b2

Answers for the worksheet on factoring binomials are given below to check the exact answers of the simple factors.

Answers:

1. (i) 3(a + 7)  

(ii) 7(m - 2)  

(iii) y(y + 3)   

(iv) 5x(4 + x)  

(v) 4x(-4 + 5x2)

(vi) 5xy(x + y)   

(vii) a(9a + 5)  

(viii) 19(a – 3b)   

(ix) 5ab2c(5ac2– 3b)

2. (i) 13(n + 3)     

(ii) 19(y - 3z)    

(iii) 7xy(3 - 7z) 

(iv) 4p(-4 + 5p2)

(v) 6xy(2x – 7z)

(vi) 9a3b2(3b + 4a)

8th Grade Math Practice

Math Homework Sheets

From Worksheet on Factoring Binomials to HOME PAGE

Didn't find what you were looking for? Or want to know more information aboutMath Only Math. Use this Google Search to find what you need.



Sours: https://www.math-only-math.com/worksheet-on-factoring-binomials.html

Factoring binomials practice

.

Factoring Trinomials The Easy Fast Way

.

Similar news:

.



95 96 97 98 99