Given the following set S of polynomials, find a polynomial p(x) in P4 so that SU {p(x)} spans P4 and a non-zero polynomial q(x) in P4 so that SU{q(x)} does not span P4- Use the character to indicate an exponent, e.g. 5x^2-2x+1. S=|-4x4-2x³−x²+4x−6, −6x4+4x³+3x²+7x−9, 2x4−7x³−x²-x+10, −4x4 +10x³+3x²−6x| p(x) = 0 q(x) = 0

Q: Use the Intermediate Value Theorem to show that each polynomial has a real zero between the given…

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Q: Consider the following polynomial: h(x)=2(x-1)2(x+1)3(x-2)(x+2) Find the x-intercepts, their…

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