Directions: Determine the degree and the zeros of the graph of the polynomial. Determine if the multiplicity of each zer
PC Exam First Semester Review Polynomials Directions: What are the solutions to the equation 1) 4𝑥 ! − 5𝑥 ! − 9 = 0 2) 9𝑥 ! + 7𝑥 ! − 16 = 0 3) 9𝑥 ! − 13𝑥 ! + 4 = 0 4) 4𝑥 ! − 21𝑥 ! − 25 = 0 Directions: Determine the degree and the zeros of the graph of the polynomial. Determine if the multiplicity of each zero is even or odd. 1) Degree = ______ 2) Degree = ______ Zeros w/ multiplicities: Zeros w/ multiplicities: 3) Degree = ______ 4) Degree = ______ Zeros w/ multiplicities: Zeros w/ multiplicities:
Directions: Determine if the polynomial falls or rises as it moves to the left and right. Determine the number of maximum turning points and its y-‐intercept.
1) 𝑦 = −𝑥 ! − 5𝑥 ! + 2𝑥 − 1 2) 𝑦 = 3𝑥 ! + 2𝑥 ! − 𝑥 ! + 7𝑥 + 4 ________ to the left; _________ to the right ________ to the left; _________ to the right max. # of turning pts: _______ max. # of turning pts: _______ y-‐int: (0, _____ ) y-‐int: (0, _____ ) 3) 𝑦 = −𝑥 ! + 5𝑥 ! − 3𝑥 ! + 𝑥 + 5 4) 𝑦 = 2𝑥 ! + 7 ________ to the left; _________ to the right ________ to the left; _________ to the right max. # of turning pts: _______ max. # of turning pts: _______ y-‐int: (0, _____ ) y-‐int: (0, _____ ) Directions: Determine the roots of the polynomial given a rational root. ! ! 1) 4𝑥 ! − 25𝑥 ! + 46𝑥 − 10 = 0; 𝑥 = ! 2) 3𝑥 ! − 22𝑥 ! + 35𝑥 + 34 = 0; 𝑥 = − ! ! ! 3) 2𝑥 ! − 13𝑥 ! + 30𝑥 − 25 = 0; 𝑥 = ! 4) 2𝑥 ! − 19𝑥 ! + 42𝑥 + 26 = 0; 𝑥 = − ! Directions: Expand the binomials. 1) 2𝑥 + 𝑦 ! 2) 𝑥 − 3𝑦 ! 3) 2𝑥 + 3𝑦 ! 4) 3𝑥 − 2𝑦 !
