Divide Polynomials: (-2z^3-z+z^2+1) by (z+1)

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In summary, the process for dividing polynomials involves using long division or synthetic division, rearranging terms, using coefficients, and bringing down new terms. When dividing polynomials with a divisor that has more than one term, the divisor must be factored before using long division or synthetic division. A polynomial can only be divided by numbers or expressions that are factors of the polynomial. The quotient is the result of the division, while the remainder is any leftover terms. Division of polynomials can be applied to real-world problems in various fields to model relationships and find solutions for unknown quantities.
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Joslynn23
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i am having trouble dividing (-2z^3-z+z^2+1)/ (z+1). Can someone please help?
 
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Are you familiar with the polynomial long division?
 

FAQ: Divide Polynomials: (-2z^3-z+z^2+1) by (z+1)

1. What is the process for dividing polynomials?

The process for dividing polynomials involves using long division or synthetic division to divide one polynomial by another. This includes rearranging the terms, using coefficients to divide, and bringing down new terms from the dividend.

2. How do I divide polynomials when the divisor has more than one term?

When dividing polynomials with a divisor that has more than one term, you must first factor the divisor. Then, use long division or synthetic division to divide the polynomial by the factored divisor.

3. Can a polynomial be divided by any number?

No, a polynomial can only be divided by numbers or expressions that are factors of the polynomial. If the divisor is not a factor, the division will result in a remainder.

4. What is the quotient and remainder when dividing (-2z^3-z+z^2+1) by (z+1)?

The quotient is -2z^2+2, and the remainder is 3.

5. Can division of polynomials be used to solve real-world problems?

Yes, division of polynomials can be used to solve real-world problems in various fields such as physics, engineering, and economics. It can be used to model relationships between variables and find solutions for unknown quantities.

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