Consider the polynomial function with integer coefficients
The Rational Zero Theorem states that if
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College Algebra
- Use the Rational Zero Theorem to list all possible rational zeros of the polynomial function. P(x)=2x4x3+10x2+5x6arrow_forwardTrue or False? If a is an upper bound for real zeros of the polynomial P, -a is necessarily a lower bound for the real zeros of P.arrow_forward87-90 Polynomials With No Rational Zeros Show that the polynomial does not have any rational zeros Px=3x3-x2-6x+12arrow_forward
- True or False? If c is a real zero of the polynomial P, then all the other zeros of P are zeros of P(x)/(xc).arrow_forwardDISCOVER: Nested Form of a Polynomial Expand Q to prove that the polynomials P and Q are the same. P(x)=3x45x3+x23x+5 Q(x)=(((3x5)x+1)x3)x+5 Try to evaluate P(2) and Q(2) in your head, using the forms given. Which is easier? Now write the polynomial R(x)=x52x4+3x32x2+3x+4 in nested form, like the polynomial Q. Use the nested form to find R(3) in your head. Do you see how calculating with the nested form follows the same arithmetic steps as calculating the value of a polynomial using synthetic division?arrow_forward
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