adding and subtracting polynomials. types of polynomials monomial binomial trinomial polynomial 1 2x...

Adding and subtracting polynomials

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Adding and subtracting

polynomials

Types of polynomials

Monomial

Binomial

TrinomialPolynomial

1 2x 7xy⁵

-12a + b w - m²

a² + x⁴ - n³ x + d – 3y + m⁸

Examples of things that are NOT types of polynomials

2n⁻¹ xⁿ 4ⁿ

Page 3: Adding and subtracting polynomials. Types of polynomials Monomial Binomial Trinomial Polynomial 1 2x 7xy⁵ -12a + b w - m² a² + x⁴ - n³ x + d – 3y + m⁸

Degree of a polynomial

4x² +x + 11

2 1 0

The degree is…… 2

5x³ -3x²y² + 2y3 4 1

The degree is…… 4

Page 4: Adding and subtracting polynomials. Types of polynomials Monomial Binomial Trinomial Polynomial 1 2x 7xy⁵ -12a + b w - m² a² + x⁴ - n³ x + d – 3y + m⁸

Adding polynomials

(2x³ -5x² + x) + (2x² +x³ -1)

3x³ -3x² + x -1

(3x² + x - 6) + (x² + 4x + 10) 4x² + 5x + 4

Leading coefficient

Subtracting polynomials

(4n² + 5) + (+2n² - 2n + 4)

6n² -2n + 9

(4x² - 3x + 5) - (3x² + x – 8 )

x² - 4x + 13

(4n² + 5) - (-2n² + 2n - 4)

(4x² - 3x + 5)+ (-3x² - x + 8)

Page 6: Adding and subtracting polynomials. Types of polynomials Monomial Binomial Trinomial Polynomial 1 2x 7xy⁵ -12a + b w - m² a² + x⁴ - n³ x + d – 3y + m⁸

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