This is a long shot I know but, I've been in a really tough situation and need help catching up so I don't fail. My grandfather died recently whom I was very close with which sent me into a very deep
Advanced Algebra Name ________________________________ 8DE Polynomial Properties v05 p1 Every answer is worth 2.5 points. Do NOT expect partial / full points for minor errors , incorrect answer s based on other incorrect answer s/work, or not following instructions. 1. The concept of continuity of a function at x = a was represented by what (prior to COVID -19) social greeting analogy? 1. __________________________ 2-4: Identify properties, if any, of the rational expression / graph. Write domains in interval notation. ALL answers in REDUCED FRACTIONAL (or INTEGER) FORM. Write asymptotes as equations. 2. a. domain : ___________________________________ b–d. discontinuit ies : type location e-f: asymptotes: direction eq uatio n 3. y = a. domain : ___________________________________ b. horizontal asymptote: ______________________ c. infinite discontinuity: ______________________ d. removable discontinuity: ______________________ e. vertical asymptote: ______________________ f. x-intercepts: ______________________ 4.y = a. domain : ___________________________________ b. horizontal asymptote: ______________________ c. infinite discontinuity: ______________________ d. removable discontinuity: ______________________ e. vertical asymptote: ______________________ f. x-intercepts: ______________________ g. simplify the rational expression: ( )( ) ( )( ) +− −+ 5 10 3 10 3 9 7 xx xx +− +− 2 2 10 11 8 8 2 3 xx xx Advanced Algebra Name ________________________________ 8DE Polynomial Properties v05 p2 5-8: EXPLAIN using the phrases below each mathematical step required to go from the initial to the simplified expression. Mathematical notated work will NOT be recognized. Each bullet point (2.5 pts) represents a step needed to be explained You will also need to write the simplified expressions for #6 & #8 within the box. ➢ CANCELED {polynomial} ➢ COMBINED TERMS OF {monomial #1} AND {monomial #2} TO GET {new monomial} ➢ DISTRIBUT ED {monomial} TO {polynomial} TO GET {new polynomial} ➢ FACTORED {old polynomial} INTO {polynomial #1} AND {polynomial#2} optional: AND {poly nomial #3} ➢ MULTIPLIED NUM. AND DENOM OF {first/second} FRACTION BY {polynomial} ➢ REWROTE {1 st/2nd} FRACTION AS RECIPROCAL AND {multiplied/divided} to {1 st/ 2 nd} FRACTION 5. simplifies to • ________________________________________________________________________________________ • ________________________________________________________________________________________ • ________________________________________________________________________________________ • ______________________________________________________________________________ __________ • ________________________________________________________________________________________ • ________________________________________________________________________________________ • ___________________________________________________________________ _____________________ 6. simplifies to • ________________________________________________________________________________________ • ________________________________________________________________________________________ • ________________________________________________________________________________________ • ________________________________________________________________________________________ • Write the simplified expression in the box. (Leave the denominator in its fac tored form.) −− − + + 22 22 4 7 28 6 8 7 x x x x x x x ( ) + + 72 7 x x ( )( ) ( )( ) + + − + −− 9 4 6 9 46 x x x x xx Advanced Algebra Name ________________________________ 8DE Polynomial Properties v05 p3 5-8: EXPLAIN using the phrases below each mathematical step required to go from the initial to the simplified expression. Mathematical notated work will NOT be recognized. Each bullet point (2.5 pts) represents a step needed to be explained You will also need to write the simplified expressions for #6 & #8 within the box. ➢ CANCELED {polynomial} ➢ COMBINED TERMS OF {monomial # 1} AND {monomial #2} TO GET {new monomial} ➢ DISTRIBUTED {monomial} TO {polynomial} TO GET {new polynomial} ➢ FACTORED {old polynomial} INTO {polynomial #1} AND {polynomial#2} optional: AND {poly nomial #3} ➢ MULTIPLIED NUM. AND DENOM OF {first/second} FRACTION BY {polynomial} ➢ REWROTE {1 st/2nd} FRACTION AS RECIPROCAL AND {multiplied/divided} to {1 st/ 2 nd} FRACTION 7. simplifies to • ________________________________________________________________________________________ • ________________________________________________________________________________________ • ______________________________________________________________________________ __________ 8. simplifies to • ________________________________________________________________________________________ • ________________________________________________________________________________________ • ________________________________________________________________________________________ • _______________________________________________________________________________________ • Write the simplified expression in the box. (Leave the denominator in its fact ored form.) ( )( ) + + − + 45 2 9 3 7 2 9 x x x x ( )( ) − +− 19 35 2 9 3 7 x xx 2 4 10 9 20 5 x x x − − − + −
