EXAMPLE 6 Factoring Differences of Squares Factor each expression. (a) 4x? – 25 (b) (x + y)? – z?

Q: 6n - 78n2+240n Factored Form: type your answer...

A: Given 6n3-78n2+240n We need to factorise the given terms

Q: 6. Factor: x* - 45x2 + 324 A. (x-6)(x-3)(x2) B. (x-6)(x- 6)(x+3)(x+ 3) C. (x+ 6)(x+3)(-x²) D.…

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Q: Example 4: Factoring ax² + bx + c x² + 4x – 12 -

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Q: Expain what Factoring Polynomials by sum or difference in two cubes is? Explain is a sentence.

A: Here, I write detailed answer.

Q: EXAMPLE 11 Factoring by Grouping Factor each polynomial. (a) x + x2 + 4x + 4 (b) x – 2x? - 9x + 18

A: The given polynomial is x3+x2+4x+4.   x3+x2+4x+4=x3+x2+4x+4=x2x+1+4x+1=x+1x2+4

Q: using algebra tiles. factor x2 +7x + 12

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Q: 2. Factor the following equations: a. 5 x² + 20x b. 3 x² - 21x c. -7 x² +49x d. -15 x² -75x e. 8.2…

A: Here are the solutions of the given problems.

Q: 3 10x-17-7x+ 2 is (x-2) a factor. Find the other factors.

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Q: Factor. w2 - 2wg +g2 w² – 2wg + g² =] (Factor completely.)

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Q: Factor a special polynomial with a difference of perfect squares. Show your work. a) 4x2 - 49 b)…

A: →Use   a2 - b2 = (a + b)(a - b)→ Use  a2 - 2ab + b2 =(a - b)2

Q: Factor  A) x2+6x+8

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Q: т2 + 2т -35

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Q: EXAMPLE 9 Factoring a Difference of Squares Factor completely. a. - 100 h. 32y - 162

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Q: 12m2 +19m +4

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Q: Factor the polynomial. x^3+9^2+6x+54 = (Factor completely)

A: Solve the following

Q: 5b^2-36b-32=0 Having a lot of trouble factoring this

A: A quadratic equation ax2+bx+c=0 can be factorized into x+m(x+n)=0

Q: What are the leading coefficient and degree of the polynomial? 5 - 5u - 4u +1-u Leading coefficient:…

A: To determine the leading coefficient and degree of the polynomial in the below expression.…

Q: 8x^2-14x+5 factor the trinomial in the form of ax^2+bx++c

A: Now we have 8x2-14x+5Rewrite the above term, we get8x2-14x+5 = 8x2-10x - 4x+5…

Q: EXAMPLE 4 Factoring ax? + bx + c by Trial and Error Factor: 6x2 + 7x - 5

A: Given 6x2+7x-5

Q: Factoring Difference of Two Squares 1.) 100 - z2 2.) a2 - 64 3.) 25 - e2 4.) r2 - 49 5.) 81 - x2

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Q: Question Factor the difference of squares. 16y4 – 4y2 The factored form of 16y -4y2 is

A: Find factor

Q: 3. Factor the polynomial completely. If the polynomial cannot be factored, say it is prime.…

A: Note: We will answer the first question only as the exact one is not specified. Please resubmit the…

Q: Page 463 Question #6   2x^3 - 8x = 0 Photo attached with question

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Q: Factoring Trinomials Factor Completely 4x2+12x-40

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Q: Factoring the sum or difference of cubes  8x^6-2

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Q: Factor

A: Given that x^2-2x-15 write -2x as the sum of two terms such that their produt is -15x^2.…

Q: Factor the algebraic expression. 16a + 20 16a + 20 = %3D (Factor completely.)

A: We will factor the algebraic expression in next step.

Q: factor trinomial 12a^3 + 10a^2 - 42a

A: GCF= 2aSo factored out 2a.

Q: Factoring the difference of squares 4s^2-9

A: Topic:- Algebra

Q: Factoring Completely 18y3+3y2-6y

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Q: factoring using groupings 6x^3+4x^2-14x+4

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Q: Factor the perfect squares x2 - 2x + 1

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Q: Factoring Quadratic Trinomials  -x^2 - 3x - 8

A: The given equation is; -x2-3x-8.

Q: Factor: (a + 3)2 - 2(a + 3) - 35 Factoring Trinomials of the Type x2+ bx + c

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Q: Factor the polynomial. 17xy5 +51x3y4 17xy +51x3y = (Factor completely.) %3D

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Q: What are the degree and leading coefficient of the polynomial? -6v+4-23v- Degree: I Leading…

A: For any polynomial degree is the highest power of the variable and leading coefficient is…

Q: 35x-7x

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Q: 7-6 Practice Factor out the GCF. Then x-factor. 1. 2x2 +8x + 6 2. 4x2 +16x + 16 2(x²+4x+3) ac…

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Q: Factoring a difference of squares in two variables Factor. 49w-81v ||

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Q: Factoring Perfect Square Trinomial 1.) z2 + 12z + 36 2.) 49 - 14h + h2  3.) g2 + 6g + 9 4.) 4 - 4v…

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Q: Factor the perfect squares x2+2x+1

A: Given that, x2+2x+1

Q: Example 3: Factoring ax² + bx +C x - 11x + 10

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Q: EXAMPLE 8 Factoring a Perfect Square Trinomial Factor. a. 4 - 28x + 49 h Sle + 90d + 25

A: Please refer to the image below

Q: EXAMPLE 8 Factoring Differences and Sums of Cubes Factor each polynomial. (a) 27x - 1 (b) x + 8

A: (a) Given polynomial is 27x3-1. To factor the given polynomial. Solution: We know that,…

Q: Question Factor the quadratic by checking factor pairs. 10x2+11x +1 10x2+ 11x +1=

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Q: What are the leading coefficient and degree of the polynomial? 3 - 5u -4u+1-u Leading coefficient:|…

A: Given the polynomial  -5u3 - 4u +1 - u5  we need to find the leading coefficient and degree of this…

Q: synthetic division. (6x2 + 7x – 16) - (x + 3) .... (6x² + 7x- 16) - (x + 3) =+ X +3 (Simplify your…

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Q: Example 1 Notes: 6xy + 9y – 10x – 15 What is the idea of factoring by grouping? Example 2 Notes: 15…

A: Question is solved.

Q: factor when possible. use a graphing calculator table to verify your work when possible…

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Q: 18 Factor: 2/1 6x2 - x-2

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