2.6 Cool Down Let P be a polynomial where P(x) = (x+ 6)(x+ 3)(x-5) %3D 1. Rewrite the polynomial in standard form. P(x) = %3D use this character ^ to represent exponent. for example, x squared' is x^2 Do not use any spaces.

Q: The polynomial p(x) = 2-(x+1)+x(x+1)- 2x(x+1)(x–1) interpolates the first four points in the table:…

A: Given, the polynomial p(x)=2-(x+1)+x(x+1)-2x(x+1)(x-1)   interpolates the first four points in the…

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…

A: Given equation is To find x intercept , substitute h(x) with 0 and apply zero factor property

Q: f(x)=x4-6x2+8   find all zeroes  of the polynominal function and state the multipilicity of each

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Q: The zeros of the polynomial P(x) = x* + 3x2 - 4 are %3D (a) 2i,-2i, i and - i (b) 2,-2, i and – i…

A: To find the zeroes

Q: Let f(x) = 5x³-10x2+x-2. If f(2)= 0, then (x-2) is a factor of f(x). K O True O False

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Q: K degree and the leading coefficient. a) f(x) = 2x² 3x + 5 b) f(x) -3x³ + 2x² + 5x + 1 c) f(x) 5x3…

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Q: Consider polynomial P(x) = x³ +x² – 10x – 10. 1. Is x+1 one of the factors of P? Explain.

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Q: 4. Describe the end behaviour of each polynomial function using the K degree and the leading…

A: As you asked for multiple subpart according to our guideline we give only first three of them.…

Q: f(x) = x²(3x + 1)(x – 6)

A: The given function is  f(x) = x2(3x +1)(x - 6)

Q: P(x) = -(x – 3)²(x + 1)²

A:

Q: Write a polynomial f(x) of degree 3 that has the zeros 1/3, √3, and -√3

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Q: Suppose f is a polynomial with the following values: -8-8 - 4 –1|6 f(x) 9 12 - 12 - A factor of f(x)…

A: A factor is that value of polynomial at which it's value equal to zero.

Q: Which polynomial function in standard form has a root of multiplicity 1 at x= 3, and a root of…

A: A polynomial function has a root of multiplicity 1 at x=3, and a root of multiplicity 2 at x=4

Q: 16. Show that (x + 1) is a factor of p(x) = x³ + 2x² + 3x +2

A: We have to show that x+1 is a factor of p(x)=x2+2x2+3x+2 .

Q: Use the x-intercepts (don't forget the multiplicity), the end behavior, or any other properties of…

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

Q: Given three polynomials over 2₂. find (i) (ii) f(x) + g(x). f(x)h(x). f(x) = 6x³-5x² + 2x - 4, g(x)…

A: Please see the attachment

Q: Determine the standard form of the following polynomial: p(x) = (2x²+1)(x²-3)

A: