 # Operations of Polynomials

## Presentation on theme: "Operations of Polynomials"— Presentation transcript:

Operations of Polynomials
Chapter 5 Jeopardy Factor Completely Find Real Zeros Final All Zeros Operations of Polynomials Review 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500 Final Jeopardy

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A-100 Factor Completely x4 – x2 – 20

Factor Completely 2x3 + 18x2 – 5x – 45

Factor Completely 3x4 + 18x3 + 27x2

A-400 Factor Completely 16x3 + 54

Factor Completely 3x4 – 5x3 – 5x2 + 5x + 2

Find the Real zeros x3 – 5x2 + 4x – 20 = 0
B-100 Find the Real zeros x3 – 5x2 + 4x – 20 = 0

Find the Real zeros x4 + 2x2 – 15 = 0
B-200 Find the Real zeros x4 + 2x2 – 15 = 0

List all the possible rational zeros of f(x)
f(x) = 5x3 + 3x2 – 4x – 12

B-400 Find the Real zeros 2x = 3x2 + 32x

B-500 Find the Real zeros f(x) = 2x4 + x3 – 53x2 – 14x + 20

Given one zero of the polynomial function, find the other zeros
f(x) = x3 – 10x2 + 34x – 40 ; 4

C-200 Find ALL zeros f(x) = 27x3 + 1

C-300 Find ALL zeros y = x3 – 12x2 + 35x – 24

C-400 Find ALL zeros h(x) = x4 – x3 – 5x2 – x – 6

C-500 Find ALL zeros f(x) = x5 – 4x4 + 4x3 + 10x2 – 13x – 14

D-100 Simplify (4x3 – 3x2 – x + 2) – (5x3 + 3x2 + x + 4)

D-200 Find the product (2x – y)(x2 + xy + y2)

D-300 Divide (x3 + 2x2 – 9x – 18) ÷ (x – 2)

D-400 Divide (x3 + 8x2 – 3x + 16) ÷ (x2 – 5)

D-500 Write a polynomial function of least degree that has rational coefficients, a leading coefficient of 1 and zeros at 5, 4, and 2i

E-100 Graph: y = -2 | x – 1| + 5

E-200 Find the equation of the line through (2, -3) and perpendicular to x + 2y = 3

E-300 Simplify

Solve by completing the square
2x2 + 12x – 28 = 0

E-500 solve the system: x + y – 2z = 5 x + 2y + z = 8 2x + 3y – z = 1

FINAL JEOPARDY