About Dividing Polynomials:
Once we have learned how to divide a polynomial by a monomial, the next step is general polynomial division. We perform this operation using long division and the process is very similar to when we worked with whole numbers. We will use the DMSBR method.
Test Objectives
- Demonstrate the ability to set up a long division with polynomials
- Demonstrate the ability to divide polynomials
- Demonstrate the ability to check the result of a polynomial division
#1:
Instructions: Divide each.
a) $$(b^3 + 6b^2 + 10b + 8) \, ÷ \, (b + 4)$$
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#2:
Instructions: Divide each.
a) $$(x^3 + 11x^2 + 35x + 20) \, ÷ \, (x + 4)$$
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#3:
Instructions: Divide each.
a) $$(8v^4 - 30v^3 + 58v^2 + 26v - 48) \, ÷ \, (8v - 6)$$
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#4:
Instructions: Divide each.
a) $$(23 - 13x^2 + 7x^4 + 14x - 48x^3) \, ÷ \, (-6 + 7x)$$
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#5:
Instructions: Divide each.
a) $$(-20x^4 - 3x^3 - 11x^2 - 13x + 24) \, ÷ \, (5x^2 + 2x - 3)$$
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Written Solutions:
#1:
Solutions:
a) $$b^2 + 2b + 2$$
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#2:
Solutions:
a) $$x^2 + 7x + 7 - \frac{8}{x + 4}$$
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#3:
Solutions:
a) $$v^3 - 3v^2 + 5v + 7 - \frac{6}{8v - 6}$$
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#4:
Solutions:
a) $$x^3 - 6x^2 - 7x - 4 - \frac{1}{7x - 6}$$
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#5:
Solutions:
a) $$-4x^2 + x - 5 + \frac{9}{5x^2 + 2x - 3}$$
