Subscribe to our YouTube channel for the latest videos, updates, and tips.


Worksheet on Factoring Trinomials by Substitution



Practice the worksheet on factoring trinomials by substitution. We know how to factor trinomial of the form x2 + bx + c or ax2 + bx + c.

But when a given trinomial does not fit in the form of x2 + bx + c or ax2 + bx + c in such cases we need substitute it to get in the form x2 + bx + c or ax2 + bx + c.

1. Factor the following trinomials using the substitution method:

(i) 4(a – b)2 – 14(a – b) - 8

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

(iii) 2(a + 2b)2 + (a + 2b) - 1

(iv) (a + b)2 - (a + b) - 6



(v) (x2 - 3x)2 – 38(x2 -3x) - 80

(vi) 6(x – y)2 – x + y – 15

(vii) (p2 – 3q2)2 – 16(p2 – 3q2) + 63

(viii) (m2 + 2m)2 – 21(m2 + 2m) – 72

(ix) (x2 – 8x)2 – 29(x2 – 8x) + 180

(x) (x + y)2 – 8x - 8y + 7



2. Factor trinomials using substitution:

(i) (x – 2y)2 + 7(x – 2y) - 18

(ii) 3(a – b)2 – (a – b) - 44

(iii) (5a – 3b)2 + 8(5a – 3b) + 16

(iv) (x – 4y)2 - 10(x – 4y) + 25

(v) (3r – 4)2 - 4(3r – 4) - 12

(vi) (7m – 1)2 + 12(7m – 1) – 45


Answers for the worksheet on factoring trinomials by substitution are given below to check the exact answers of the above trinomial expressions.


Answers:


1. (i) 2(a – b – 4)(2a – 2b + 1)

(ii) (3x – 4)(9x + 5)

(iii) (a + 2b + 1)(2a + 4b – 1)

(iv) (a + b – 3)( a + b + 2)

(v) (x - 8)(x + 5)(x - 2)(x - 1)

(vi) (2x - 2y + 3)(3x - 3y - 5)

(vii) (p2 – 3q2 – 7)(p2 – 3q2 - 9)

(viii) (m2 + 2m + 3)(m – 4)(m + 6)

(ix) (x – 10)(x + 2)(x – 9)(x + 1)

(x) (x + y – 7)(x + y – 1)


2. (i) (x – 2y + 9)(x – 2y – 2)

(ii) (a – b – 4)(3a – 3b + 11)

(iii) (5a - 3b + 4)(5a - 3b + 4)  

(iv)  (x – 4y – 5)(x – 4y – 5)   

(v)  (3r – 2)(3r - 10)

(vi) 7(7m – 4)(m + 2)





8th Grade Math Practice

Math Homework Sheets

From Worksheet on Factoring Trinomials by Substitution 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. Terms Related to Simple Interest | Simple Interest Formula | Principal

    Jun 18, 25 02:57 PM

    In terms related to simple interest we will learn all the terms related to simple interest. The terms related to simple interest are Interest, Principal, Amount, Simple Interest, Time or period of tim…

    Read More

  2. Introduction to Simple Interest | Definition | Formula | Examples

    Jun 18, 25 01:50 AM

    Simple Interest
    In simple interest we will learn and identify about the terms like Principal, Time, Rate, Amount, etc. PRINCIPAL (P): The money you deposit or put in the bank is called the PRINCIPAL.

    Read More

  3. 5th Grade Profit and Loss Percentage Worksheet | Profit and Loss | Ans

    Jun 18, 25 01:33 AM

    5th Grade Profit and Loss Percentage Worksheet
    In 5th grade profit and loss percentage worksheet you will get different types of problems on finding the profit or loss percentage when cost price and selling price are given, finding the selling pri…

    Read More

  4. Worksheet on Profit and Loss | Word Problem on Profit and Loss | Math

    Jun 18, 25 01:29 AM

    Worksheet on Profit and Loss
    In worksheet on profit and loss, we can see below there are some different types of questions which we can practice in our homework.

    Read More

  5. Calculating Profit Percent and Loss Percent | Profit and Loss Formulas

    Jun 15, 25 04:06 PM

    In calculating profit percent and loss percent we will learn about the basic concepts of profit and loss. We will recall facts and formula while calculating profit percent and loss percent. Now we wil

    Read More