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. What is Area in Maths? | Units to find Area | Conversion Table of Area

    Jul 17, 25 01:06 AM

    Concept of Area
    The amount of surface that a plane figure covers is called its area. It’s unit is square centimeters or square meters etc. A rectangle, a square, a triangle and a circle are all examples of closed pla…

    Read More

  2. Worksheet on Perimeter | Perimeter of Squares and Rectangle | Answers

    Jul 17, 25 12:40 AM

    Most and Least Perimeter
    Practice the questions given in the worksheet on perimeter. The questions are based on finding the perimeter of the triangle, perimeter of the square, perimeter of rectangle and word problems. I. Find…

    Read More

  3. Formation of Square and Rectangle | Construction of Square & Rectangle

    Jul 16, 25 11:46 PM

    Construction of a Square
    In formation of square and rectangle we will learn how to construct square and rectangle. Construction of a Square: We follow the method given below. Step I: We draw a line segment AB of the required…

    Read More

  4. Perimeter of a Figure | Perimeter of a Simple Closed Figure | Examples

    Jul 16, 25 02:33 AM

    Perimeter of a Figure
    Perimeter of a figure is explained here. Perimeter is the total length of the boundary of a closed figure. The perimeter of a simple closed figure is the sum of the measures of line-segments which hav…

    Read More

  5. Formation of Numbers | Smallest and Greatest Number| Number Formation

    Jul 15, 25 11:46 AM

    In formation of numbers we will learn the numbers having different numbers of digits. We know that: (i) Greatest number of one digit = 9,

    Read More