Rules Always answer in the form of a question Team names & buzzer sounds ready Points to be taken away for wrong answers? (Decide as a class…change this slide accordingly for future.)
Direct & Inverse Variation Dividing Polynomials Finding Rational Roots Miscellaneous Synthetic Division
Direct & Inverse - for 100 Remember to phrase your answer in the form of a question! SOLVE If p is directly proportional to q, and p=9 when q=7.5, find q when p=24
Direct & Inverse - for 100 q=20
Direct & Inverse - for 200 If w is inversely proportional to the square of v, and w=3 when v=6 find w when v=3 Remember to phrase your answer in the form of a question!
Direct & Inverse - for 200 W=12
Direct & Inverse - for 300 If p is directly proportional to r-2, and p=20 when r=6, find p when r=12 Remember to phrase your answer in the form of a question!
Direct & Inverse - for 300 p=50
Direct & Inverse - for 400 The stretch in a loaded spring varies directly as the load it supports. A load of 15 kg stretches a certain spring 3.6 cm. What load would stretch the spring 6cm? Remember to phrase your answer in the form of a question!
Direct & Inverse - for kg
Direct & Inverse - for 500 The frequency of a radio signal varies inversely as the wave length. A signal of frequency 1200 kilohertz, which might be the frequency of an AM radio station, has a wave length 250 m. What frequency has a signal of wave length 400 m? Remember to phrase your answer in the form of a question!
Direct & Inverse - for kHz
Dividing Polynomials- for x-x² 2-x Remember to phrase your answer in the form of a question!
Dividing Polynomials- for 100 X x
Dividing Polynomials- for 200 4u²+4u+1 2u+1 Remember to phrase your answer in the form of a question!
Dividing Polynomials- for 200 2u+1
Dividing Polynomials- for 300 6t³+t²+7t+10 3t +2 Remember to phrase your answer in the form of a question!
Dividing Polynomials- for 300 2t²-t t+2
Dividing Polynomials- for 400 x³+a³+4a²x+4ax² x+2a Remember to phrase your answer in the form of a question!
Dividing Polynomials- for 400 x²+2ax+ a³ x+2a
Dividing Polynomials- for 500 Find k so that when x³+kx+1 is divided by x-2, the remainder is 0 Remember to phrase your answer in the form of a question!
Dividing Polynomials- for /2
Finding Rational Roots - for 100 X³-7x+6=0 Find any rational roots if there is at least one solve completely Remember to phrase your answer in the form of a question!
Finding Rational Roots - for 100 {-3,1,2}
Finding Rational Roots - for 200 2X³-x+12=0 List all possible rational roots Remember to phrase your answer in the form of a question!
Finding Rational Roots - for 200 Plus/minus 12,1,3,4,2,6,3/2, 1/2
Finding Rational Roots - for 300 Find a polynomial equation Given roots 2,i Remember to phrase your answer in the form of a question!
Finding Rational Roots - for 300 x 3 -2x 2 +x-2=0
Finding Rational Roots - for 400 Solve Given 2 is a root Remember to phrase your answer in the form of a question!
Finding Rational Roots - for i, -1-2i,2
Finding Rational Roots - for 500 2x³-5x²+8x-20=0 Solve given 5/2 is a root Remember to phrase your answer in the form of a question!
Finding Rational Roots - for 500 {5/2, ±2i}
Theorems - for 100 Remember to phrase your answer in the form of a question! If 2 +3i is a root give another
Theorems - for i Conjugate Root Theorem
Theorems - for 200 Solve given 2+i is one root of X 3 -11x+20=0 Remember to phrase your answer in the form of a question!
Theorems - for i,2-i,-4
Theorems - for 300 Use the remainder theorem to evaluate P(3/2) if P(x) =4x 3 -4x 2 +5x+1 Remember to phrase your answer in the form of a question!
Theorems - for
Theorems - for 400 Is x-i a factor of P(x)=X 3 -2x 2 +1x+2 Remember to phrase your answer in the form of a question!
Theorems - for 400 P(i)=i 3 -2(i 2) +1i+2= -i+2+i+2=4 P(i) does not = 0 so x-I is not a factor
Theorems - for 500 X 4 -6x x -100=0 X=3+i find all roots Remember to phrase your answer in the form of a question!
Theorems - for 500
Synthetic Division - for 100 3x³-5x²+x-2 X-2 Remember to phrase your answer in the form of a question!
Synthetic Division - for 100 3x²+x+3+ 4 x-2
Synthetic Division - for 200 t^4+5t³-2t-7 t+5 Remember to phrase your answer in the form of a question!
Synthetic Division - for 200 t t+5
Synthetic Division - for 300 Remember to phrase your answer in the form of a question! 2x ³-3x²+4x-2 2x+1
Synthetic Division - for 300 X²-2x x+1
Synthetic Division - for 400 z³-2z²+4z-5 z-2i Remember to phrase your answer in the form of a question!
Synthetic Division - for 400 Z²+(-2+2i)z-4i+ 3 z-2i
Synthetic Division - for 500 2x³+5x²+4=(x+3)Q(x)+R Find the polynomial Q(x) and the constant R. Remember to phrase your answer in the form of a question!
Synthetic Division - for 500 Q(x)=2x²-x+3; R= -5