What is the fully factored form (with real coefficients) for the polynomial f(x) = æ® – 1? (Hint: 16 = 1) (x2 – 1)(x4 + æ² + 1) O (x – 1)(x + 1)(x² + x + 1)(x²2 – x + 1). O (2 – 1)* (x + 1)? O (2 – 1) (x + 1)4 O (x – 1) (x + 1)3

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: 3. Let p(x) = 6xª – 13x³ + 13x² – 2. - (a) Find q(x) such that p(x) = (2x – 1)q(x) using synthetic…

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Q: The interpolating polynomial p(x) of degree 2 of f(x) = 6xª – 2x³ + x² + 9 is p(x) = x² + 9. %3D…

A:

Q: Given f(x) = (x−2)^3(−x+ 1)^7(2x+ 6)^2(x+ 4) determine the following: (a) What is the leading (or…

A: The given function is- f(x) = (x−2)3(−x+ 1)7(2x+ 6)2(x+ 4) (a) The leading term of the polynomial is…

Q: Which polynomial function would have the end behavior of as x→ too, y 0? f(x) = 7x5 – 8x1 – 2x3 + x²…

A: The given polynomial functions are…

Q: -25 – 5x4 + 5x³ – 11æ² – 21x – 40

A: Given: f(x)=-x5-5x4+5x3-11x2-21x-40 To find: f'(x) and f''(x).

Q: B. Find the real zeros and sketch the graph of the following polynomial functions. 1) P(x) = (x +…

A:

Q: Use an appropriate Chebyshev polynomial to economise f(x) = x³ + 2x² – 5 once

A: In this question, we need to economize the polynomial by using appropriate Chebyshev Polynomial the…

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

A:

Q: (a) Evaluate 12x + 3x3 – 5x² + 7x – 8 at x = -1 (c) One can represent polynomials using nested…

A: a Given polynomial is p(x)=12x4+3x3−5x2+7x−8. We have to evaluate the given expression at x=-1. Let…

Q: Given the following polynomial, p(x)=3x³ (3x + Perform the Leading Coefficient Test by answering the…

A: P(x)=3x^3(3x+1)^2(2-x)

Q: XII. Given two polynomials: A(x) = 12x3 - 4x2 - 3x +1 B(x) = (3x – 1)(5x – 2) – (9x² – 6x + 1) 1)…

A:

Q: Which polynomial has the zeros 1, –1, & -4? O y = (x+1)(x – 1)(x+ 4) O y = (x+1)x –1)(x – 4) o y…

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Q: Given the following polynomial g(x)=-3x²+x³-4x²+2x+6, 1. The number of operations required to…

A: the given polynomial equation is

Q: Find (f – 9)(x) if f(x) = -3a? + 2x – 3 and g(æ) = 2x2 – 3x + 4. O (f - 9)(x) = 5x² – 5x + 7 • (f –…

A:

Q: For the polynomial below, -1 is a zero of multiplicity two. 4 f(x)=x"+4x+10x+12x+5 Express f (x) as…

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Q: Determine Q(x) when P(x)=x³-5x2-3x+2 is divided by x-1 and then expressed in the form Select one: O…

A:

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: 3. Find all zeros(real and complex) of the polynomial P(x) = x* + x³ + 7x² + 9x – 18, making sure to…

A: The given polynomial is  P(x) = x4 +x3 + 7x2 + 9x - 18

Q: 2. Which polynomial equation has 1, -2, and 3 as roots? A. P(x) = (x + 1) (x – 2) (x + 3) B. P(x) =…

A: Here in the given question we are provided with roots as 1, -2 and 3. And we are asked to find…

Q: For the polynomials p(x)=4x* – 3x² +x -1 and d(x) =x² – 1, write in the form p(x)= d(x)q(x)+r(x).

A:

Q: A zero of the polynomial 8x3-10x2-x+3 in Z1s(x) is O a.x=-1 O O b.x-1 OCx-2 Od. None

A: From the option, we put the value of x and then find out value of equation , If zero will come its…

Q: Find (f + 9)(x) if f(x) = -322 + 2x – 3 and g(a) = 22? – 3x + 4.

A: (f+g)(x)=f(x)+g(x)

Q: find all polynomials P(x) and Q(x) satisfying, for all x∈R the equalities: P(Q(x))=x4-5x2+7 and…

A:

Q: Construct the addition table for Z5. Using this table, or otherwise, determine the following x in…

A: First we find addition table for Z5. Then find values of x.

Q: expand and simplify the following polynomial: 2 (7 – 4a) a (2a – 4) (5a + 1) 40a + 390a? + 180a O…

A: 2(7-4a)a(2a-4)(5a+1) = (14- 8a)a{ 10a2 + 2a - 20a -4}  = (14a- 8a2)( 10a2 -18 a - 4)  ={ 140a3…

Q: I. Divide the polynomials using the LONG METHOD. Express your answer as P(x) = D(x) Q(x) + R (x3 –…

A: topic - long division method note : as per bartleby guidelines, we are supposed to answer only first…