18. State the number of positive real zeros, negative real zeros, and complex zeros f(x) = -7x + 10x3 +5x +5 O O or 2 positive real zero O 1 positive real zero O 0 or 4 complex real zero O1 negative real zero 2 complex zeros 0 or 2 negative real zero

Q: "The product of two negative real numbers is positive" Is given by? Select one: O a. 3x Vy (x 0)) O…

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Q: Answer the following justifying your answers with examples or by stating theorem(s) used: a) Is it…

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Q: 16) Given the function f(x)=2x –1lx² +22x–15, find all the complex roots, given that 2-i is a root.…

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Q: Create a cubic expression that when divided by (x-1) will have a remainder of 6

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Q: Write two distinct polynomials, one in factored form ( f(x) = (x ± a)" (x ± b)".. ) and one in…

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Q: 1.Solve the following polynomial equations.  a)  2X2+1=x2+2X b)   x3+6x2+11x+6=0 C)…

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Q: What does Descartes’ Rule of Signs tell you about the real roots of x3 – x2 + 1 = 0 ?

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Q: The positive value of k for which x2+kx+64=0 & x2-8x+k=0 will have real roots

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Q: 3x +6x? -6x - 36 2x' +5x -x-6 x' +3x' -10x? 3x +2x -35x² -18x+72 Fxnressions that have a factor of…

A: 1) 3x3-6x2-6x-363x2x-2-6x-63x2-6x-23x2-2x-22x-2x+2x-2 This expression has the (x-2) factor. 2)…

Q: 3) Show that (a + b +c)² = a² + b² + c² + 2ab + 2ac + 2bc is a polynomial identity.

A: To show: a+b+c2=a2+b2+c2+2ab+2ac+2bc

Q: 2) x- 7メ r Sx3 +93 ×2 イ2x-72=0 R) x5-2x4 -15x°t 10×*+イX-18=0

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Q: Use Descartes’s Rule of Signs to determine the possiblenumber of positive and negative real zeros…

A: Given function is f(x)=3x^5-2x^4-2x^2+x-1Firstly,we count the number of changes in signs for the…

Q: Prove that 3x3+ 5x - 11 has a root between x=1 and x=2. Thanks!

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Q: Show that Q[x]/⟨x 2 − 2⟩ ≅ Q[x]/⟨x 2 + 4x + 2⟩.

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Q: Use Descartes' Rule of Signs to determine the possible number of positive real zeros and the…

A: To use Descartes's rule of signs to determine the possible number of positive real zeros and the…

Q: Given that 3 is a zero of the polynomial P(x) = 2x+ – 17x3 +52x² – 64x + 21, find the other real and…

A: NOTE: Refresh your page if you can't see any equations. . take P(x)=0 the given zero is x=3,  now…

Q: 1.Solve the following polynomial equations.  a) 2X2+1=x2+2X b) x3+6x2+11x+6=0 C)x5-4x3-x2+4=0…

A: As per bartleby guideline for more than three sub parts asked only first three are to be answered…

Q: 10) If the voltage, V, in an electric circuit is held constant, the current, I, is inversely…

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Q: 3 x+2 x-3 2x+1 3x-1 2x+1

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Q: Express the polynomial in the form an(x - ₁)(x-₂)(x-rn). x² + 11

A: The polynomial is given by x2+11 To determine: The expression of the polynomial in factored form.