Use Descartes's Rule of Signs to determine the possible number of positive and negative real zeros of: p(x)=15x¹5+10x10-3x4+6x²+3 or positive and or negative roots.

Q: Express as a polynomial.

A: To express 13a2+4b13a2-4b as a polynomial. Solution: We have identity a+ba-b=a2-b2. Using the above…

Q: Show that x−6 is a factor of the polynomial p(x)=(1/3)x^3 − (15/2)x^2 + 56x − 138. How many real…

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Q: The number of zeros of the polynomial x? + 2x +3 in Z, is: 1 None 4.

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Q: 1 f(x) = 3x³ − x² + 27x − 9, - -

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Q: Determine the different possibilities for the numbers of positive, negative, and nonreal complex…

A: Given is  f(x) =5x^5 -2x^4 -4x^3 +2x^2-9x-4

Q: how is the irrational zero found?

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Q: Classify the quadratic forms as positive definite, positive semidefinite, negative definite,…

A: To classify the quadratic form x1^2 + x2^2 - x3^2 + 4x1x2, we will use the following steps: Step 1:…

Q: Q10.  Find the roots algebraically by factoring:  a) x3 – 8x2-3x +90 b) x3 – 64

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Q: Given f(x)=x^4-2x^3+28x^2-4x+52, and that 1+5i is a zero of f(x). Find all the zeros.

A: Given f(x)=x^4-2x^3+28x^2-4x+52, and that 1+5i is a zero of f(x).Find all the zeros.

Q: Given that x = 2 is one root of g(x) = 2x* + 4x – 9x² – 11x – 6 = 0, use factorisation to determine…

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Q: Determine all real roots of the polynomial function and express it in factored form: ƒ (x) = 63x¹ +…

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Q: a) y=x³+x²-2x, A A( C( B ) B( ) X

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Q: Which polynomial expression of fourth degree has the roots x=-3,x%=3,x%= 5i ? A x +16x-225 B…

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Q: Find the zeros of Q(x) = 5x - x² + 9 using the quadratic formula. Number of zeros: one

A: Given Quadratic formula is Q(x)=-x2+5x+9 Compare to ax2+bx+c=0 Here a=-1, b=5 and c=9.

Q: a)Is x +2 a factor of the polynomial f(x) =x^3-3x+2? How do you know?b)Is x = 2 a zero of the…

A: The problem is concerned with the relationship between zeros of f(x)=0 and factors of f(x)