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. 2nd Grade Place Value | Definition | Explanation | Examples |Worksheet

    Sep 14, 24 04:31 PM

    2nd Grade Place Value
    The value of a digit in a given number depends on its place or position in the number. This value is called its place value.

    Read More

  2. Three Digit Numbers | What is Spike Abacus? | Abacus for Kids|3 Digits

    Sep 14, 24 03:39 PM

    2 digit numbers table
    Three digit numbers are from 100 to 999. We know that there are nine one-digit numbers, i.e., 1, 2, 3, 4, 5, 6, 7, 8 and 9. There are 90 two digit numbers i.e., from 10 to 99. One digit numbers are ma

    Read More

  3. Worksheet on Three-digit Numbers | Write the Missing Numbers | Pattern

    Sep 14, 24 02:12 PM

    Reading 3-digit Numbers
    Practice the questions given in worksheet on three-digit numbers. The questions are based on writing the missing number in the correct order, patterns, 3-digit number in words, number names in figures…

    Read More

  4. Comparison of Three-digit Numbers | Arrange 3-digit Numbers |Questions

    Sep 13, 24 02:48 AM

    What are the rules for the comparison of three-digit numbers? (i) The numbers having less than three digits are always smaller than the numbers having three digits as:

    Read More

  5. Comparison of Two-digit Numbers | Arrange 2-digit Numbers | Examples

    Sep 12, 24 03:07 PM

    Compare 39 and 36
    What are the rules for the comparison of two-digit numbers? We know that a two-digit number is always greater than a single digit number. But, when both the numbers are two-digit numbers

    Read More