Solve 2x^3+6x^2-4x-12=0 using factoring by grouping. Solve Exactly like the example attached, following all steps.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Solve 2x^3+6x^2-4x-12=0 using factoring by grouping. Solve Exactly like the example attached, following all steps.

Find the solutions for 4x³ + 7x² - 12x - 21 = 0
1.) Group
2) GCF of
groups
3.) GC Fagain
4.) gero prod
5.) salve
(4x³ + 7 x ²) + (-12x-21)=0
3
X² (4x + 7) =3 ( 4x +7)=0
(4x + 7) (X²-3)=0
✓
4x+2=0
-7-7
<->
+x=
X = 7/4
x²-3=0
+3 +3
x² = 3
√x² = ± √√3
X =
√3
&
{5%, 535
1
Transcribed Image Text:Find the solutions for 4x³ + 7x² - 12x - 21 = 0 1.) Group 2) GCF of groups 3.) GC Fagain 4.) gero prod 5.) salve (4x³ + 7 x ²) + (-12x-21)=0 3 X² (4x + 7) =3 ( 4x +7)=0 (4x + 7) (X²-3)=0 ✓ 4x+2=0 -7-7 <-> +x= X = 7/4 x²-3=0 +3 +3 x² = 3 √x² = ± √√3 X = √3 & {5%, 535 1
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