# High School Math : Polynomials

## Example Questions

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### Example Question #31 : Intermediate Single Variable Algebra

Factor the following polynomial:       Explanation:

Begin by rearranging the terms to group together the quadratic:  Now, convert the quadratic into a square: Finally, distribute the : ### Example Question #32 : Intermediate Single Variable Algebra

Factor the following polynomial:       Explanation:

Begin by extracting from the polynomial:  Now, rearrange to combine like terms: Extract the like terms and factor the cubic: Simplify by combining like terms: ### Example Question #33 : Intermediate Single Variable Algebra

Factor the following polynomial:      Explanation:

Begin by extracting from the polynomial:  Now, rearrange to combine like terms: Extract the like terms and factor the cubic: Simplify by combining like terms:    ### Example Question #1 : Write A Polynomial Function From Its Zeros

Consider the equation .

According to the Rational Zeroes Theorem, if are all integers, then, regardless of their values, which of the following cannot be a solution to the equation?      Explanation:

By the Rational Zeroes Theorem, any rational solution must be a factor of the constant, 6, divided by the factor of the leading coefficient, 14.

Four of the answer choices have this characteristic:     is in lowest terms, and 3 is not a factor of 14. It is therefore the correct answer.

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