Worksheet on Factoring Trinomials



Practice the worksheet on factoring trinomials to know how to factorize the quadratic expression of the form ax2 + bx + c. We know, in order to factorize the expression ax2 + bx + c, we have to find two numbers p and q, such that p + q = b and p × q = ac.

1. Factoring trinomials of the form ax2 + bx + c:

(i) 2m2 + 11m + 12

(ii) 3m2 + 8m + 4

(iii) 3m2 - 13m + 14

(iv) 4m2 - 7m + 3

(v) 5m2 - 11m - 12

(vi) 7m2 - 15m – 18



2. Factor trinomials:

(i) 7m2 + 6m – 1

(ii) 9m2 + 35m – 4

(iii) 2m2 - 5m + 3

(iv) 7m - 6 - 2m2

(v) 11m2 - 54m + 63

(vi) m2 + 2m – 3



3. Factorize the quadratic expression:

(i) 2a2 + 5a + 2

(ii) 3x2 + 14x + 8

(iii) 2m2 + 7m + 6

(iv) 6x2 – x - 15

(v) 9r2 – r - 8

(vi) 12 + x - 6x2

(vii) 6 + 5a – 6a2

(viii) x2 + 8x – 105

Answers for the worksheet on factoring trinomials are given below to check the exact answers of the above quadratic expression.


Answers:


1. (i) (2m + 3)(m + 4)   

(ii) (3m + 2)(m + 2)   

(iii) (m - 2)(3m – 7)   

(iv) (4m - 3)(m – 1)    

(v) (5m + 4)(m – 3)  

(vi) (7m + 6)(m – 3)    


2. (i) (7m – 1)(m + 1)  

(ii) (m + 4)(9m - 1)     

(iii) (2m - 3)(m – 1)

(iv) (3 – 2m)(m – 2)

(v) (11m - 21)(m – 3)

(vi) (m + 3)(m – 1)


3. (i) (a + 2)(2a + 1)

(ii) (x + 4)(3x + 2)

(iii) (m + 2)(2m + 3)

(iv) (2x + 3)(3x - 5)

(v) (r – 1)(9r + 8)

(vi) (3 – 2x)(4 + 3x)

(vii) (3 – 2a)(2 + 3a)

(viii) (x + 15)(x – 7)






8th Grade Math Practice

Math Homework Sheets

From Worksheet on Factoring Trinomials to HOME PAGE




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



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

RSS

  1. Vertical Subtraction | Examples | Word Problems| Video |Column Method

    Mar 22, 25 05:20 PM

    Vertical Subtraction
    Vertical subtraction of 1-digit number are done by arranging the numbers column wise i.e., one number under the other number. How to subtract 1-digit number vertically?

    Read More

  2. Worksheet on 11 Times Table | Printable Multiplication Table | Video

    Mar 22, 25 05:08 PM

    worksheet on multiplication of 11 times table
    Worksheet on 11 times table can be printed out. Homeschoolers can also use these multiplication table sheets to practice at home.

    Read More

  3. Worksheet on 10 Times Table | Printable Multiplication Table | Video

    Mar 21, 25 03:46 PM

    worksheet on multiplication of 10 times table
    Worksheet on 10 times table can be printed out. Homeschoolers can also use these multiplication table sheets to practice at home.

    Read More

  4. 5th Grade Prime and Composite Numbers | Definitions | Examples | Math

    Mar 21, 25 12:18 AM

    5th grade prime and composite numbers

    Read More

  5. 14 Times Table | Read and Write Multiplication Table of 14| Video

    Mar 20, 25 04:03 PM

    14 Times Table
    In 14 times table we will learn how to read and write multiplication table of 14. We read fourteen times table as:One time fourteen is 14 Two times fourteen are 28 Three times fourteen are 42

    Read More