8x +6 2x 2+ x +3J 16N3+ 20 x2+ 18X +7 (16x3+8x 2. +24x) V 12X2-6X +7 8X+ C6 t 25 -(izx².Cox +18) 25 a5 8x+ + ax2+ X+3 P(x) = %3D 4. Solve algebraically. Do not approximate your answers. Let P(x)= x -x² -10x-8. a. Use synthetic division to factor P(x), given that x =4 is a zero of P. (Hint: divide P(x) by x-4. Express your answer in P(x) = (x-4)Q(x)+R) -01- -7.4 12 122+ 3x -2." (x -4) (x243X+2 P(x) = P: 2_+2 7+1 S: 3 b. Find all zeros of P. 1243XF2) X C9 Cx +1> CX+2) =0 42,4 (x3=x3-10x-8) X?(X-7)-2(5x+4) Cx?-x?)-G0X c. Factor P(x) completely. P(x)% = 5. Write a polynomial with zeros x=6, x=5, x =-/5. Do not simplify. PC x) = Cx-C) C x-55) Cx+r5) %31 Answer: