adding a constant to a polynomial so all its roots are real.
134699
Can *any* real polynomial be factored linearly (plus a constant) over $\mathbb{R}$?
56967
Show that $ f^2 − g^2 = C $ for some real constant C
6484
Polynomials in one variable with infinitely many roots.
103340
Show that this entire function is polynomial.
126402
How to factor a fourth degree polynomial
119999
A property of every real polynomial.
74195
Find values of $a$ for which function will have real roots
101879
How do I replace a variable in a polynomial?
153816
Real Roots and Differentiation
31544
How to prove that this polynomial is larger than another for positive reals?
117743
Remainder of the polynomial
121759
If this equation in x has real roots find the value of a and b.
154507
If all the roots of a polynomial P(z) have negative real parts, prove that all the roots of P'(z) also have negative real parts
141184
Proof that a degree 4 polynomial has at least two roots
55509
Factor a polynomial over the reals
154393
Roots of polynomial with real coefficients appear in conjugate pairs.
776
Entire function with positive real part is constant (no Picard)