1. [011 Points] DETAILS PREVIOUS ANSWERS SPRECALC7 3.3.004. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHE Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express the quotient P(X)/D(X) in the form g = Q(x) + %. P(X)=2X3+4X22x1, D(X)=X+3 Submit Answer 2. [011 Points] DETAILS PREVIOUS ANSWERS SPRECALC7 3.3.006. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHE Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express the quotient P(X)/D(X) in the form gig} = Q(X) + g. P(X) = 10x3 + x2 21x+ 9, D(x) = 5x 7 PIX! _ 2 D(X) 2x +3xi6 X 3. [-11 Points] DETAILS SPRECALC7 3.3.011. MY NOTES ASK YOURTEACHER PRACTICE ANOTHER Two polynomials F and D are given. Use either synthetic or long division to divide P(X) by D(X), and express F in the form P(x) = D(X) - Q(x) + R(X). P(X) = 4x3 9x2 4x, D(X) = 4x 9 P(X) = Need Help? _ '_ 4. [-11 Points] DETAILS SPRECALC7 3.3.013. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(X), and express P in the form P(X) = D(X) - Q(X) + R(X). P(X) = 6% + 4x3 + 5x2, D(X) = 2x2 + 1 P(X) = 5 Let P(a:) : 2335 7x4 + 4:153 +1232 61 5. (a) Using the Fundamental Theorem of Algebra, how many zeros/roots does P(2:) have? (b) Using the Rational Roots Test. (also called Rational Roots Theorem or Rational Zeros Test or Rational Zeros Theorem), what are all the possible real zeros/ roots of P(2:)? (0) Verify that a: = 71/2 is a root/zero of P(a:). 13(1) 2.1- + l (e) One complex zero/root of P(:l:) is 2 + i. What must another complex zero/ root of 13(3) be? (d) Use polynomial long division or synthetic division to show that : 3:4 43':3 + 43:2 + 43': 5. (1') Factor 13(3) completely (into linear terms)