Determine whether the expression is a polynomial or not. A) Polynomial B) NOT a polynomial 7. 2x -x +5x-8 8. -5x +2x² +x x* +4x -2x 5 x² +x- 3+- 9. 10. 11. x+2 12. 3x +2x? +x+1

Q: . Do the polynomials x? + 2, 2x? – x + 1,x + 2, and x² + x + 4 span P2?

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Q: n of the polynomial y 100 80- 60 40 20 -5 -4 -3 -2 2 4 5 6 20 -40 108- -100 -120 -140- -160+ -180

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Q: 4. In each part, determine whether the polynomial is a linear combination of P, = 2+x+x², P, = 1-x²,…

A: We have to determine whether the polynomial is a linear combination of given polynomials.

Q: 2. Is the expression 4x³ 3.6x² - V2 a polynomial? If so, what is its degree? (pp. A22-A24) -

A: (2) Here the given expression  4x³-3.6x²-√x = 0 Here the given expression is polynomial Degree of a…

Q: List the degrees of the term and the degree of the entire polynomial. 2 4p +5p 6 2 degree of 4p…

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Q: Verify whether -3 and 2 are the zeros of the polynomials x3-x2+x-6

A: polynomial p(x) is zeros at x=a if p(a)= 0,

Q: What are the zeros of P(x) = (x - 3)(x + 1) (x – 1)? %3D

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Q: f (æ) = 53 substitution to evaluate the given polynomial. 2a2 - 8x 16; a= 3 Question#16 Sim

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Q: Complete the table. Kind of Polynomial according to number of Leading Leading Coefficinet Degreel…

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Q: Do the polynomials x? + 2,2x2 – x + 1,x + 2, and x² + x + 4 span P2?

A: Let u1 = x2+2, u2 = 2x2-x+1, u3 = x+2, and u4 = x2+x+4. Notice that u1 + u3 = u4. So, u1, u2, u3,…

Q: Determine the resulting polynomial: f(x) = -5x - 8 9(а) — — За? — 6х — 2 –3x² бх — 2

A: Given: f(x)=-5x-8, g(x)=-3x2-6x-2   To compute: f(x) . g(x)

Q: Use the definition to determine whether the polynomials x3 −4x2 +3x, x3 +6x2 +11x+6, x2 −2, and 2x+5…

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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: Exercises 108–110 will help you prepare for the material covered in the next section. 108. Multiply:…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

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: 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: 20) Determine a polynomial that represents the area of the figure. 20) 3x - 5 3x + 5 A) 9x2 - 25 B)…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Use the intermediate Value Theorem to show that the polynomial f(x) = 2x⁴-11x²+ 6 has a real zero…

A: According to intermediate value theorem, If the function is continuous on interval a to b , and of…

Q: A 2nd degree palynomial passes through the points (1,-1); (2,-2); (3,-1) and (4,2) Find the…

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Q: Q. What are the zeros of the polynomial y= 3(x + 4)(x + 1)(x- 3)? answer choices -4. -1, 3 3, -3, 4,…

A: To find the zeroes of the polynomial

Q: (6) Find (–x³ + 7x² – x) + (x² – x² + 1) Write the polynomial in the form of P(x) = d(x)q(x) + r(x)

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Q: Consider the polynomial p(x) = 45x³ + 69x? – 24 – 48 What are the zeros of 3p (x + 1)? O-, -2, - ,…

A: Given the polynomial,

Q: 14. If 2 +3 is a polynomial root, name another root of the polynomial, and explain how you know it…

A: Let's find.

Q: Which polynomial has zeros of (-2, 0); (3, 0); and (3, 0)? O f(x) = a² – x + 6 O f(x) = a² – x – 6 O…

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Q: a.) Show that i is a zero of the polynomial x³ – ix? + 2ix + 2. b.) -i is not a zero of the same…

A: a. Consider the given polynomial: Since So, complex number i is one zero of . But

Q: How do you write polynomial funtions in standard form when the zeros are 5, 3i, and -3?

A: The polynomial with zeroes as a, b and c can be expressed as (x - a)(x - b)(x - c). This can be…

Q: 12. Explain how to find the degree of a polynomial

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Q: Wite the factored fom of the polynomial function with real coe-fficients, a lead cofficier ot l, $…

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Q: 13) Use Descartes' Rule of Signs to determine how many positive and how many negative zeros each…

A: We have to use Descartes Rule Of signs to determine positive  and negative roots   Given function…

Q: What is the missing polynomial? 7-(20-4x- 5x2) = 20 – 7x² 4x-12x² 4x-2x2 O 40-4x-12x2 O40-4x-2x²

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Q: 23. Express the polynomial 2m -3+ 7m in standard form. 2m + 7m-3 9m -3 7m+ 2m - 3 -3+ 7m+ 2m

A: Given expression of polynomial 2m2-3+7m

Q: Determine the coefficient of x³ in the development of (x + 1) ¹² 12

A: Solve the following

Q: Ise the definition to determine whether the polynomials x3 – 4x2 + 3x, x* + 6x2 + 1la+6, x² – 2, and…

A: True

Q: Which of the following polynomial expressions factors into (2x - 6)²? O 4x2 - 24x + 36 O 4x2 + 24x +…

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Q: (d) In the following table, locate and correct the value of y that is in error by using difference…

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Q: 19. The polynomial f(x) = (x – 2)3 = (x – 2)(x – 2)(x – 2) has æ = 2 as a zero four times. True…

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Q: 2. Determine whether the polynomial 1+ x + ? is a linear combination of P, = 2+x+x², p, = 1-x, p, =…

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Q: Express the polynomial in descending order. If the polynomial is already in descending order, so…

A: Arrange the given polynomial in descending order

Q: Which polynomial function has zeros -2, ½, 2, 1? O A. y = 2x^4 - 3x^3 – 7x*2 +12x - 4 O B. y = 2x^3…

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Q: 13. Which polynomial has a degree of 2?

A: To find the polynomial of degree 2.

Q: State whether the ollowing algebraic expressions are polynomials or not. IF not, state the reason 1.…

A: We will find out the required solution.

Q: 9. Determine if 2 is a zero of the polynomial. Write in a sentence why or why not: f(x) : = x4 + 6x3…

A: Correct answer is, Yes 2 is a zero of the polynomial. We use definition of zero of a polynomial.

Q: For the polynomial f («) — ӕ3 — 2а? — 5ӕ + 6 what are the zeros? О-1, —2, 3 о-1, 2, 3 О 1, -2, 3 о…

A: solve for zero's

Q: 2. What is the largest exponent in a quartic polynomial ? * 3 4

A: A polynomial is in the form a0+a1x+a2x2+........+anxn. and degree of the polynomial is n.

Q: What are the zeros of polynomial function f(x) = x* – 102² + 16? O (V2, 0), (/8, 0) O (-8, 0), (-2,…

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Q: Construct the difference table and find the polynomial that fits the set of points (0, 5), (1, 6),…

A: Introduction: Divided differences is a mathematical algorithm that has historically been used to…

Q: Do the polynomials x² + 2, 2x² – x + 1,x + 2, and x² + x + 4 span P2?

A: Solve the problem as shown below see if they are linear combination of each other and then verify,