When directed to completely factor the polynomial 4x²y³ – 8xy³, a student wrote 2xy³ (2xy² - 4). When the teacher did not give him full credit, he complained because when his answer is multiplied out, the result is the original polynomial. Give the correct answer.

Q: Factor each expression completely. (a) 4x2 – 25 (b) 2x2 + 5x – 12 (c) x- 3x? – 4x + 12 (d) x* + 27x…

A: Given , The expression to be factorized completely. a).4x2-25 b.)2x2+5x-12 c.)x3-3x2-4x+12

Q: For problems #6-9, a) Perform synthetic division on the polynomial with the given binomial. b)…

A: 6. The polynomial is, x3+4x2-10x+12 The binomial is x+6.

Q: 1. Multiply the following polynomial using the FOIL method. (2x - 5)(x² - 4) O 2x³-8x5x² +9 O…

A:

Q: (6x - 30) >x + 3

A: 566x-30>x+3⇒566x-5630>x+3

Q: The polynomial – 4p² + 16p – 15 can be factored by grouping. Write an expression in the form ap? +…

A: topic - quadratic equations and factorisation

Q: Factor the binomial 24x y – 40x'y completely.

A:

Q: Match each polynomial with the correct factored form. 3x³-21x²430x x³ +27 3x³-3x²+4x-4 X-256 a.…

A: Given,(i)

Q: What does it mean to have a remainder of 0? This pertains to Division with Polynomials.

A:

Q: Recall that a binomial made up of the difference of two perfect squares can be factored by the…

A:

Q: If given the following polynomials, what type of factoring would you use? 1. x - 4 A. GCF 2. 5x- 10x…

A: Given that, There are four column in which we have to correct match.

Q: LISTIE One factor of ³ x²14x + 24 is x - 2. Use synthetic division and/or factoring to find the…

A: Given query to find the factors of the expression.

Q: How would you factor x2(2x+3)5(x-4)2  to find the zeros and multiplicity?

A: The given expression is,

Q: Please answer the question below (iv). x - by + y – bx = x – bx + y – by = x (1 – b) + y (1 – b) =…

A: -bx-by+x+y

Q: e factored form

A: Introduction: A polynomial is a mathematical expression. Before we get into polynomials, we should…

Q: When doing calculus problems, how would I identify that I should do long division of polynomials in…

A: 1. Polynomial division: If you're asked to divide one polynomial by another, long division is…

Q: Use FOIL to express ab + ac + db + dc in factored form as a product.

A: To find factors of ab+ac+db+dc

Q: 4. Which of the following is the correct factored form for 16y? – 40y + 25? A) (4y + 5)(4y – 5) B)…

A:

Q: Rewrite this expression as the product of its greatest common factor and a polynomia 20y- 10ry +…

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Q: 1. [(b- 1)/ (8b? - 8b)] • [6b? + 8b] 2. [(x? + 2x) / 3x + 6)] • [(3x + 3) / (x + 1)] 3. [(3x + 21) /…

A:

Q: Calculate the following equation by long division and also by synthetic division: (2x4 – 11x +7) ÷…

A: the solution of the given problem by long division and synthetic division is given below...

Q: If the bottom row as a result of synthetic division is 4 0 3 0 2, then the quotient is which of the…

A:

Q: b. Find a QR-factorisation of 1 -1 1 1 1 1 -1 0 |

A: Step:-1 Given matrix  is  110-1010111-10 Let  A= 110-1010111-10 Now, we'll apply Gram-Schmidt…

Q: 3) Factor the following polynomials: (a) 12x²y + 4xy² - 18ay (c) 2x² - 9x - 18 (d) 27y³ - 125 (b) d…

A: Given polynomials are : (a) 12x²y+4xy²-18xy ;  (b) d²-5d-66 (c) 2x²- 9x - 18 (d) 27y³-125 (e) 121x²…

Q: 3. 3x2- 11x - 20 = 0

A: topic - factorization

Q: Factor the following polynomials. You can use MATLAB. (a) 6x4 – 31x³ + 40x² + 2x – 5 -

A: Since all coefficients are integers, apply the rational zeros theorem. The trailing coefficient…

Q: Am I factoring something on this problem wrong? I checked by cross multiplying, and the numbers seem…

A: You have done it correct but instead of writing -2w it will be -20w. When anything is given of the…