Factor each polynomial. See Example 7. (5x-2)3-8
Table of contents
- 0. Review of Algebra4h 18m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations1h 43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 5m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 22m
- 10. Combinatorics & Probability1h 45m
- Appendix 1. Review of Real Numbers2h 24m
- Appendix 2. Linear Equations and Inequalities3h 42m
- OLD 9. Sequences, Induction, and Probability Coming soon
- 1. - OLD - Fundamental Concepts of Algebra Coming soon
- 2. - OLD - Equations and Inequalities Coming soon
- OLD 4. Rational Functions Coming soon
- OLD 2. Functions & Graphs Coming soon
- OLD 6. Exponential and Logarithmic Functions Coming soon
- OLD 7. Systems of Equations and Inequalities Coming soon
- OLD 8. Matrices and Determinants Coming soon
- OLD 9. Conic Sections Coming soon
0. Review of Algebra
Factoring Polynomials
Multiple Choice
Factor out the Greatest Common Factor in the polynomial.
−3x4+12x3−18x2
A
3x(−x2+4x−6)
B
3x2(−x2+4x−6)
C
3(−x3+4x2−6x)
D
3x2(−3x4+12x3−18x2)
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Verified step by step guidance1
Identify the terms in the polynomial: \(-3x^4 + 12x^3 - 18x^2\).
Determine the greatest common factor (GCF) of the coefficients: \(-3, 12,\) and \(-18\). The GCF is \(3\).
Identify the smallest power of \(x\) in the polynomial terms, which is \(x^2\).
Factor out the GCF \(3x^2\) from each term in the polynomial: \(-3x^4, 12x^3,\) and \(-18x^2\).
Rewrite the polynomial as \(3x^2(-x^2 + 4x - 6)\) after factoring out the GCF.
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