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 4126:) = Q(X) + #3:). P(X)=2x25X6, D(X)=X2 ). = D(X) Submit Answer 2- H4 Wm] DETAILS MY NOTES ASK YOUR TEACHER 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 1(5) : Q(X) + 01) D(x) D(x)' P(X) =3x3+9x26x 1, D(x)=x+4 Pix! = D(x) 3. [/4 Points] DETAILS MY NOTES ASK YOUR TEACHER 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)=x4+3x314x, D(x)=x4 P(x) = 4. [-IO Points] DETAILS MY NOTES ASK YOUR TEACHER 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)=5x4+4x3+5x2, D(X)=2xz+1 P(x) = 5. [-11 Points} DETAILS Use synthetic division and the Remainder Theorem to evaluate P(c). P(x)=3x3+9x23x+2, c=1 P(1) = 6. [-11 Points} DETAILS Use synthetic division and the Remainder Theorem to evaluate P(c). P(x)=x7x2S, c=2 P(Z) = 7. [l1 Points] DETAILS Use the Factor Theorem to show ifx c is a factor of P(x) for the given value of c. P(x) =x33x2+3x65, c=5 X 5 Select a a factor of P(x). 8. [-12 Points} DETAILS Use the Factor Theorem to show that x c is a factor of P(x) for the given values of c. P(x)=x33x2+13x6;c=s Since P(6) = , x 6 is a factor of P(x) by the Factor Theorem. Factor P(x) completely. P(X) = 9. [-13 Points] DETAILS Use the Factor Theorem to show that x c is a factor of P(X) for the given values of c. P(X) = 5x4 19x3 63x2 + 304x 192; c = 4, c = 4 Since P(4) = Factor P(X) completely. and P(4) = , x + 4 and x 4 are factors of P(X) by the Factor Theorem