270 likes | 282 Views
Test your math skills with questions on roots, polynomial factors, and functions. Can you conquer the challenges and emerge victorious?
E N D
Jeopardy Building Strong Roots Divide & Conquer Is this the end? Explicitly Awful You’re my boy Blue $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
How many roots would P(x) have (include Real and Imaginary)? P(x) = ax9 + bx8 + cx7 + dx6 + ex5 + fx4 + gx3 + hx2 + jx +k 9 roots Building Strong Roots - $100
Building Strong Roots - $200 • Completely factor: x2 − 16x + 63 • (x – 9)(x – 7)
Building Strong Roots - $300 • If given the roots 3 and -4 what is the factored form and standard form • (x – 3)(x + 4) x2 + x - 12
Building Strong Roots - $400 • Give all the possible combinations of real and imaginary roots of a cubic function • 3 real, 1 real multiplicity of 3, 1 real 2 imaginary
Building Strong Roots - $500 • Give the factors and roots of f(x) = x4 – 16 • (x – 2)(x + 2)(x – 2i)(x + 2i)
Divide and Conquer - $100 • Given x=2 is a root of the polynomial f(x) = x3 – 3x2 -18x +40, write the polynomial in factored form. • (x – 2)(x + 4)(x + 5)
Divide and Conquer - $200 • Is 2x – 1 a factor of 2x3+15x2-34x+13? • Yes 2x – 1 is a factor
Divide and Conquer - $300 • Give the multiplication statement if you divide x3 – 8x2 – 111x + 10 by x + 7 • (x + 7)(x2 – 15x – 6 + (52 / x+7))
Divide and Conquer - $400 • Given the factor (x – 5) what are the all the linear factors of x3 – 9x2 + 23x - 15 • (x – 1)(x – 3)(x – 5)
Divide and Conquer - $500 • 75x – 40
Is this the end? - $200 • Is the degree odd or even? And is the leading coefficient positive or negative? • The degree is even and the leading coefficient is positive
Is this the end? - $400 • Degree is odd and leading coefficient is negative
Explicitly Awful - $100 • What is the recursive formula of the table? • f(1) = 3; f(n) = f(n – 1) +3
Explicitly Awful - $200 • What is the explicit formula of the table? • f(n) = 3 + 3(n – 1) Or f(n) = 3n
Explicitly Awful - $300 • What is the explicit formula for the table • f(x) = 4 + 2(n – 1) Or f(x) = 2n + 2
Explicitly Awful - $400 • Identify the type of function and explain the common difference • Quadratic 2nd difference is +3
Explicitly Awful - $500 • What is the explicit equation for the table? • f(x) = x2 +3
You’re my boy Blue- $100 • What college did Mrs. Blue graduate from? Even though her family were fans of a rival school. • NC State University
You’re my boy Blue- $200 • What type of dog does Mrs. Blue have and what is his name? • Boxer mix and Boomer
You’re my boy Blue - $300 • What is Ms. Blue’s fiance’s name and where did they meet? • Ben and college
You’re my boy Blue - $400 • Where is Ms. Blue from? (Spelling and pronunciation is how you get credit) • Albemarle
You’re my boy Blue - $500 • What sport is Ms. Blue a professional athlete at? *Hint: she met Shaquille O’Neal because of this sport • Jump rope