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Dividing polynomials: synthetic division and the Remainder and Factor Theorems — Homework
Set up the synthetic division box carefully, using a placeholder 0 for any missing power.
- 1.Divide x^3-3x^2-4x+12 by (x-2) using synthetic division. State the quotient and remainder.
- 2.Fully factor x^3-3x^2-4x+12 using the previous result.
- 3.Use synthetic division to find p(-1) for p(x) = 2x^3+x^2-3x+1, by dividing by (x+1).
- 4.Without dividing, use the Factor Theorem to decide whether (x-3) is a factor of p(x)=x^3-2x^2-5x+6.
- 5.Explain why synthetic division only works directly for divisors of the form (x-c), and not for something like (2x-3).
🌲 Homeschool of the FutureTwelfth Grade · Math · week 6 homework