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Polynomials
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First

Linear

Binomial

Second

Quadratic

Binomial

Third

Cubic

Trinomial

Slide 9

Standard Form

Standard Form

To rewrite a polynomial in standard form, rearrange the terms of the polynomial starting with the largest degree term and ending with the lowest degree term.

The leading coefficient, the coefficient of the first term in a polynomial written in standard form, should be positive.

Slide 10

Examples

Examples

Write the polynomials in standard form.

Remember: The lead coefficient should be positive in standard form.

To do this, multiply the polynomial by –1 using the distributive property.

Slide 11

Practice

Practice

Write the polynomials in standard form and identify the polynomial by degree and number of terms.

1.

2.

Slide 12

Problem 1

Problem 1

This is a 3rd degree, or cubic, trinomial.

Slide 13

Problem 2

Problem 2

This is a 2nd degree, or quadratic, trinomial.

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