Question 12 Use the factor theorem to determine if the given binomial is a factor of f(x). f(x)=x²-7x³ + 8x² - 2x + 4; x-2 O No ons heach term as much as possible

Q: Use long division to find the quotient below. (15x +2x2-75) - (3x-5) A. 5x2-12x+ 15 B. 5x2 +9x+ 15…

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Q: Select ALL the factors of the following polynomial: 2.x – 3r – 12? + 7x +6

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Q: QUESTION 6 Find the value of q if 3x +7x+2 is a factor of 2x +px-qx.

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Q: A polynomial expression is given. 3z (zy) 21'y Which is an equivalent form of the expression? 3y 3y

A: Explanation of the answer is as follows

Q: Show that D^2 = {(x, y) ∈ E^2: x^2+y^2 ≤ 1} ⊂ E^2 and the space containing a single point are…

A: In algebraic topology, two topological spaces are said to be homotopy equivalent if there exists a…

Q: Multiply the polynomials. 5ab (баb — Та + 4b) —D|[|

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Q: Find the product. (x-4)(x+4) O x2-8 O x2-16 O x²+16 O x2-8x-16

A: Algebra Question

Q: If x - 3 is a factor of 2x³ + x² 21 3 -3 21 9 - 10x +3, the value of k is:

A: The given function is

Q: Which of the polynomials below is a 3rd degree polynomial? Select one: O a. 3x25x+7 O b. 5x 3-6x4 +…

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Q: QUESTION 6 Use the Factor Theorem to choose factors of P(x)=x* – 16x³+69x²-26x – 112 a. x- 2, x+7 O…

A: Given, P(x)=x4-16x3+69x2-26x-112 According to factor theorem, if P(x) is a polynomial of degree n ≥…

Q: 5 19y +3

A: Given : 19y5+3   To Find : Degree of polynomial

Q: Use the remainder theorem to determine if the given binomial is a factor of the polynomial. Justify…

A: By using the remainder theorem determine the given binomial is a factor of the polynomial  given…

Q: Show that p-1 is a factor of p10-1 and also p11-1

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Q: Question 8 * 1 point Factor the following polynomial expression: 3x - 5x + 14x- 8. (3x + 2)(x2-x +…

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Q: If (x + 3) is a factor of x3 - 13x – 12, what are the other factors. A. (x- 6) and (x + 2) B. (x –…

A: Given data is : If x+3 is a factor of x3-13x-12 What are the other factors.

Q: Which of the following polynomials (there can be several correct answers) belong to Span {1+x, 1+ 2x…

A: Answer:To determine which polynomials belong to the span of {1+x,1+2x+x2}, we need to check if the…

Q: For which polynomial is the expression (2y – 3)a factor? O 12y – 8 O 45 y- 20 16y – 54 O 2y? + y3

A: This question can be solved by the method of factorization

Q: 9 Find a, b and c, given that the following pairs of polynomials are identically equal. а ax? + bx +…

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Q: factor of P(x). B. Use the Factor Theorem to determine whether the given binomial of the fonn Is a…

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Q: Is each of the following 4 binomials a factor of the polynomial P(x) = x3 + 3x²-x-3? Explain your…

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Q: Find k such that the Polynomial P(x) 2x3 + ka? – 2x – 5 is divisible by x – 3. | | k =

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Q: Question 5 Find a, b eR such that the polynomial f(x) = 6x – 7x + ax? + 3x + 2 is divisible by g(x)…

A: Use division algorithm and divide the polynomial f(x) with g(x).

Q: of the apples is equal to 3 of the oranges. If there are 12 mor 5 In a fruit stall, - - annles than…

A: Fraction:  A small part of something.  In other words, numerical value that is not a whole number A…

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: Question 18 What is the third term of the expanded polynomial, in standard form, for the binom…

A: We have to find the third term

Q: The standard notation of the factorial polynomial x(4) - x(3) - 2

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