Scribd
Upload
45 views5 pages

G.T A 1

1) The document provides steps for factorizing trinomial expressions where the leading coefficient is not 1. 2) It gives 10 examples of trinomial expressions and shows the step-by-step work to factor each one. 3) The factors are determined by finding two numbers whose product is the constant term and whose sum is the coefficient of the linear term.

Uploaded by

jyllianefgascon
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
45 views5 pages

G.T A 1

1) The document provides steps for factorizing trinomial expressions where the leading coefficient is not 1. 2) It gives 10 examples of trinomial expressions and shows the step-by-step work to factor each one. 3) The factors are determined by finding two numbers whose product is the constant term and whose sum is the coefficient of the linear term.

Uploaded by

jyllianefgascon
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
You are on page 1/ 5

Steps:

Example
2x² + 5x - 7
a b c

Step 1: Multiply 2 to – 7 = -14 (a • c)


Step 2: Make the equation x² + b + c where
c = -14
= x² + 5x – 14
Step 3: Factor -14 which the sum is 5;7 and -2

1.) -14
2.) x² + 5x – 14
3.) (x + 7) (x – 2)

Step 4: Divide both factors of the equation by the


value of a

4.) (x + 7) (x – 2)
2 2

= (2x + 7) (x – 1)
General Trinomial a ≠ 1
Examples

1. 5x ² + 16x + 3
2. 3x ² - 10x + 8
3. 7x² - 19x -6
4. 3x² + 11x + 6
5. 7b² + 15b + 2
6. 2x² + 9x + 4
7. 3x² - 7x – 6
8. 2x² + 7x + 3
9. 3n² - 2n – 8
10. 3x² + 2x – 5
ANSWER AND SOLUTION

1. 5x ² + 16x + 3
1.) 15
2.) x² + 16x + 15
3.) (x + 15) (x + 1) = (x+15) (x + 1)
5 5

= (x + 3) (5x +1)
2. 3x ² - 10x + 8
1.) 24
2.) x² - 10x + 24
3.) (x – 6) (x – 4) = (x – 6) (x – 4)
3 3

= (x - 2) (3x - 4)
3. 7x² - 19x -6
1.) 42
2.) x² - 19x – 42
3.) (x + 2) (x – 21) = (x + 2) (x – 21)
7 7
= (7x + 2) (x – 3)
4. 3x² + 11x + 6
1.) 18
2.) x² + 11x + 6
3.) (x + 2) (x + 9) = (x + 2) (x + 9)
3 3
= (3x + 2) (x + 3)
5. 7b² + 15b + 2
1.) 14
2.) b² + 15b + 14
3.) (b + 14) (b + 1) = (b + 14) (b + 1)
7 7
= (b + 2) (7b + 1)
6. 2x²+ 9× + 4
1.) 8
2.) x² + 9x + 8
3.) (x + 8) (x + 1) = (x + 8) (x + 1)
2 2
= (x + 4) (2x + 1)
7. 3x² - 7× - 6
1.) -18
2.) x² - 7x – 18
3.) (x – 9) (x + 2) = (x – 9) (x + 2)
3 3
= (x – 3) (3x + 2)

8. 2x² + 7× + 3
1.) 6
2.) x² + 7x + 6
3.) (x + 6) (x + 1) = (x + 6) (x + 1)
2 2

= (x + 3) (2x + 1)

9. 3n² - 2n – 8
1.) -24
2.) n² - 2n – 8
3.) (n + 4) (n – 6) = (n + 4) (n – 6)
3 3

= (3n + 4) (n – 2)

10. 3x² + 2x - 5
1.) -15
2.) x² + 2x – 15
3.) (x + 5) (x - 3) = (x + 5) (x – 3)
3 3

= (3x + 5) (x – 1)

You might also like