1. What is the GCF of the expression 20x-25? b. 2х а. 2 C. 5 d. 5x 2. Which of the following is NOT a perfect square trinomial? a. x²+10x + 25 b. x-24x +144 C. x²+ 10x +24 d. x-14x +49 3. Which of the following is the factor of 27c + 125d² ? a. (3c+5d) (9c+ 15cd -25d²) C. (3c+ 5d) (9c? – 15cd + 25d²) b. (3c-5d) (9c² + 15cd +25d²) d. (3c-5d) (9c – 15cd + 25d²) 4. Which of the following always describes a square of a binomial? a. It is not a perfect square trinomial C. It is a sum of two squares b. It is a perfect square trinomial d. It is a difference of two squares 5. What is the middle term of the product of the binomials (x+ 3) and (x +8)? а. 5x Ь. -5х C. 11x d.-11x

Q: Factor. 7y2 − 26y − 8

A: Consider the given: 7y2−26y−8 Break the expression into groups:7y2−28y+2y−8=7y2+2y+−28y−8 Factor out…

Q: Which of the following is a perfect square trinomial? O 9x² – 12x + 4 O x2 – 12x + 4 O 9x? – 12x – 4…

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Q: What value of n in the expression below would make it a perfect square trinomial? x²-14x + n A B n =…

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Q: factor. 9y2-21y-35

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Q: 4. Students were asked to write a trinomial that could not be factored using integers. Pat Wrote:…

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Q: Factor. 2 z´ +7z+ 12

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Q: Which of the following is a perfect square trinomial? O 3x2 + 132x + 121 O 36x2 + 132x + 121 O 36x +…

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Q: Factor.

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Q: Factor. 5z+ 26z + 5

A: We have, 5z2+26z+5   Solution to the quadratic equation can be obtained by quadratic formula and…

Q: Factor. 49a2+27a+4

A: Given,

Q: Factor the follawing (b-1) (8²-85) to [abe+ 8b] a. b.. (x²+ 2x) (3x+3) (xtl) (3xt4) ex-6) (xt7)…

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Q: What are the steps for answering this question?: Determine the value of k that makes the expression…

A: The given expression is : x2+4x+k  To find the value of k that makes the expression a perfect…

Q: Factor. 25t2 − 9

A: We use the formula a2-b2=a-ba+b

Q: Factor. 9x2 − 74x − 63

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Q: 1. Factor the following. a. x²+5x+6 c. 4x² - 256 b. 2x²-7x-15 d. 9x² + 24x + 16

A: According to Bartleby guide line we only do first three parts of multiple part questions.(a)  f(x)=

Q: Which of the following leading terms would make the expression a perfect square trinomial? --80xy+…

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Q: Select the factored form of the expression 3x² - 11x-4.

A: factor: 3x2-11x-4

Q: Factor. z +11z+18

A: let B=z2+11z+18

Q: Determine whether 9w-25t" is a difference of two squares. If so, factor it. If not, explain why. Not…

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Q: Paul creates the diagram to help him factor 4x2 + x -5 by using double grouping. His diagram is…

A: Given a polynomial and we have to factor it using double grouping method. Screenshot of question is…

Q: Factor. 27w-125

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Q: When asked to factor ax - by + ay - bx, a student wrote the expression as ax + ay - bx - by. Then…

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Q: Factor a trinomial when a ≠ 1. Show your work. a) 6n2 - 7n + 2 b) 7x2 + 18x - 9 c) 28c2 - 39c + 8

A: The given teinomial a) 6n2 - 7n + 2 b) 7x2 + 18x - 9 c) 28c2 - 39c + 8

Q: 2. ax-18

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Q: Which of the following trinomials can be factored into the perfect square (6x - 6)2?

A: Recall:  (a-b)2=a2-2ab+b2 We have, a=6x, b=6

Q: Determine the number that must be added to make the question a perfect square trinomial w^2 +9w +___

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.