Q 22 Andrea argues that (5m – 3)(2m + 4) models the closure property. What reasoning could Andrea use to argue that multiplication of polynomials is closed? The exponents of the product are integers and the product is a The coefficients of the product are integers and the product is a polynomial. polynomial. The terms in the expression are rational numbers and the product is a polynomial. The exponents of the product are whole numbers and the product is a polynomial. 10:17 F A O D A40 11/28/2 63°F Clear P Type here to search 行

Q: The polynomial p(x) = -2x°+ 3x +4 is given. Which conclusion is valid if p(1)

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Q: 11. Find the zeros and verify the relation between the zeros and coefficients: (i)x² - 30 (ii) x²…

A: See this solution in below.

Q: 6. a. P(x)= 6x - 7x –12x +3x+2 a zero of P(x)= 6x* - 7x -12x + 3x+2? Show why or why not.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Which statement about k (x) x² -2x + 15 is true? %D - O The zeros are -3 and 5 O The zeros are -5…

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Q: Consider the following. x33x2 16x 48, P(x) C = -3 Show that the given value of c is a zero of P(x).…

A: Part(a) Given function is P(x) = x3 + 3x2 -16x – 48 Now we have check that c = -3 is root of the…

Q: Q4 (a): if a=6, b=12, show that AxH=G (b): find the value of k if the product of the root of (2k-1)x…

A: Here in this question a=6,b=12 is given  A=Arithmetic mean which is equal to =a+b2 H=Harmonic mean…

Q: a. Given the set {-3x3 + 2x2 + x – 2, –3 z3 + 2x² + x – 2,2 a3 – 2 22 + 1, x³ + 3x² – 3x + 2} write…

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Q: Consider the polynomial function. f (r) = 1* – 2xª + 11z² + 5x +6 Which statement correctly…

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Q: Subtract 5y – 6y – 11 from 6y? + 2y + 5. Your answer should be a polynomial in standard form.

A: Ans.6y2+2y +5    .....(I)5y2-6y-11  ....(II)substract equation (II) from (I) equation  6y2+2y +5…

Q: c) Find all zeros of the polynomial d(x) = 7x* + 32x° + 62x´ + 352x – 165 given that (x – c) is a…

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Q: 3) Tusuer is. C. ☆ Should bein lo0 Polymomiaul-defined as 23 . If 2 + 3i is a zero of a polynomial…

A: To Determine: If 2+3i is a zero of a polynomial function with real coefficients. Determine the…

Q: 10. Determine whether the first polynomial in P3(R) can be expressed as a linear combination of the…

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Q: 1. Is x³ - 2√5x + x a polynomial? If not, state a reason. 2. Is -2020x a polynomial? If not,…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: 7. What is the constant term of the polynomial expression: x* – 2x + x² – 5x + 6? А. 1 8. Express:…

A: Let's find.

Q: Consider the following. x3 - 4x2 7x 28, Р(x) C = 4 Show that the given value of c is a zero of P(x).…

A: Consider the provided function:

Q: . Using Descartes’ Rule of Signs, we can tell that thepolynomial P1x2  x5  3x4  2x3  x2  8x  8…

A: The Descartes rule of signs states that if p be a polynomial with real coefficients then (1) The…

Q: 6. Determine if the product of 3/2 and 8/18 is rational or irrational. Explain your answ

A: First we have to find the product of 32and818 Product = 32 × 818 = 2436 = 24×6  = 144

Q: Gvan a polynomial fx), if (x + 5) is a factor, what else must be true? O (0) - 5 O (0)=-5 O (5)-0…

A: Polynomial

Q: c) Find all zeros of the polynomial 4 d(x) = 7x' + 32x° + 62x¯ + 352x – 165 given that (x c) is a…

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Q: Which one of the following is true for the given statements? Statement A : 3 (5 – x²y+ 9x) is not a…

A: Given that the two statements are   Statement A : 3(5-x2y+9x) is not a trinomial.  Statement B : The…

Q: Find the zero of P(x)=7x-12

A: We have to find the zero of P(x)=7x-12.

Q: A polynomial P ( x ) with real coefficients has 5 + 9 i as a zero. What other number must be a zero…

A: Comples zeroes of polynomial always come with conjugate pair. For example if a + b i is zero then a-…

Q: 3.4. Do the polynomials x3 + 2x, x² + x + 1, x³ + 5 generate (span) P3? Justify your answer.

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Q: Cônsider the polynomial functions y = x - 2x2 – 7x – 4 and y = x3 - 7x2 + 8x + 16. Which of the…

A: According to the question,  We have two polynomial function: F1: y= x^3 - 2x^2 - 7x - 4 F2: y= x^3 -…

Q: Which of the following statements is not true regarding the division of polynomials?       a)…

A: Polynomial division is similar to the way numbers are divided, The method of division in both cases…

Q: 35. Consider the polynomial xy + 27xyt + x²y+ 3xy². a) One factor of the polynomial x + 27y is x +…

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Q: (a) If we divide the polynomial P(x) by the factor x - c and we obtain a remainder of 0, then we…

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Q: Determine the number of zeros in the right half-plane (Re z > 0) of the polynomial p(2) = 23 + 22 +…

A: "Since you have asked multiple questions we will solve the first question. For the remaining kindly…

Q: II. Use synthetic division method to finc the solution on the space provided. Set A 1. (x³ – 3x² +…

A: Given is (x3-3x2+5x+3)÷(x-3) The solution is provided below

Q: Which statement is true about the polynomial x + bx - O If b = 8 then (x 6) is a factor %3D If b 4…

A: Solve the following

Q: 32. Lander divided (3x - 14x - 5x2 - 10) by (x + 3) and obtained a remainder of -16. Here is his…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 7. The zeros for p(m) = x – 4x² – 9x + 36 are - (1) {3, 4} (3) {– 3, – 4} (2){± 3, – 4} (4) {± 3, 4}

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Q: Determine whether the second polynomial is a factor of the first. 4x? + 6x + 46; x- 2 ..... Select…

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Q: h(t)= -2t^3 + 23t^2 - 59t + 24 Are there any non-real zeros for this polynomial? If so, what are…

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Q: Andrea argues that (5m – 3)(2rm + 4) models the closure property. What reasoning could Andrea use to…

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Q: iii. Find all three)factors of the following polynomial expression: ... 3 2 x - 5x- 2x + 24 X - 3

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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: The polynomial p(x) = - 2x ^ 3 + 3x + 4 is given. Which conclusion is valid if p(1) = 5

A: Given ,  The polynomial  p(x) = -2x3 + 3x + 4  We have to find valid conclusion if p(1) = 5

Q: 11. Expand and simplify. (b + 6)(4 - b)(26 - 8) -263 - 192 c -263 + 2862 - 128b + 192 b -2b3 + 46? +…

A: Given: 1) (b+6)(4-b)(2b-8) 2) x2+13x-48 3) 6x2+36x+54 4) x2-8x+16-9y2

Q: 3. Find all zeros of x3+2x2−5x−6 given x=2 is a zero.

A: Given polynomial is Since x=2 is its zero, so x-2 is a factor of polynomial, so we factorize the…

Q: Use synthetic division to show that 3 is a solution of the polynomial equation 2h3 + 14h2 - 180 = 0…

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Q: Fáctór the polynomial completely. x2 - 32x - 68 Select the correct choice below and fill in any…

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Q: Select all of the statements that are true about the following expression: -4x + 3x - 1 A The…

A: The polynomial given is . The polynomial is to be analyzed and the characteristics are to be…

Q: Using the rational algebraic expressions provided below, a.) Determine the restricted value. (1pt.)…

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Q: Q.18 If x– 1 and x + 2 are factors of x +10x + ax+b, then find the values of a and b. If x = 2 and x…

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Q: 7x-3 + 9x – 13 is not a polynomial because the coefficient of the second term is 9. x5y3 – 5x2y2 +…

A: Solution as follows

Q: 4. Which of the following describes the end behavior of the polynomial y = –x³ + x? %3D as z -oo, y…

A: Here  function is given and we have to find the end behavior of function

Q: hat are all the real zeros of y=(x-12)3-7?

A: We have to find the real zeros of y=(x-12)3-7.

Q: 1. Which of the following expressions are monomials with degree 2? i) 2x + 2x ii) 2x2 iii) x iv) 2x…

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Q: Rylie analyzes a polynomial P(x) and makes the following table: Which of the following is false? -46…

A: A Table for Polynomial P(x) is given x y -2 -46 -1 0 0 22 1 26 2 18 3 4 4 -10