TRUE OR FALSE FOR ALL

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1. When performing long division of a polynomial by a linear binomial, the degree of the remainder is always smaller than the degree of the divisor. 2. When performing long division of polynomials, if the remainder is zero then the quotient is undefined. 3. If P(-3) = 0 for a polynomial P(x), then x + 3 is a factor of P(x). 4. The binomial 2x-3 is a factor of 2x-5x-x+6. 5. For a polynomial equation P(x) = 0, if P(x) is not factorable, then P(x) = 0 has no real roots. _6. All cubic polynomial inequalities have infinitely many solutions. 7. All quartic polynomial equations have at least one real solution. _8. An infinite number of parabolas can share the same vertex, forming a family of quadratic functions. 9. A polynomial inequality will either have no solution or infinitely many solutions. 10. For P(x) > 0, if P(x) is not factorable, then P(x) > 0 cannot be solved.