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Question

Find the GCF of the terms of each polynomial.1. 6x2 + 10 2. 12x2 − 16x 3. −24y4 + 30y3

4. 4x2y − 8xy2 5. 6x2y3 + 9xy2 6. −15x4 y2 − 25x3y3


Factor out the GCF from each polynomial.

7. 4x2 − 8x − 6 8. 8x3 + 12x2 − 4x 9. −3y2 + 9y − 3


10. 2x2y − 4xy + 6xy2 11. 12x4 − 16x3 + 8x2 − 28x 12. 4x2 + 6xy −14y2


13. Explain why the terms of the polynomial y2 + 7 are said to be relatively prime.


14. a trinomial of degree 3 in standard form with a GCF of 6x. Factor out

the GCF from your trinomial.


15. A rectangle has an area of 14y3 − 35y.

a. What are expressions for the length and width where one dimension is

the GCF?


b. Does a rectangle exist with the given dimensions if y = 2? Explain.

Step-by-step answer

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Subject: Algebra, Math

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