Factor each expression completely. (a) 4x2 – 25 (b) 2x2 + 5x – 12 (c) x- 3x? – 4x + 12 (d) x* + 27x (e) (2x – y)? – 10(2x – y) + 25 (f) x'y – 4xy

Q: x2 +4x+3 factor completely

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

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Q: Factor the polynomial: x2y -16y+32-2x2

A: Given polynomial is:

Q: Factor the Polynomial 8x^6-9x^3+1

A: Factor of polynomial is : (x-1) and ( x-1/2)

Q: a. Rewrite the polynomial 2x² + x in standard form. ° +-7x + 1 b., What is the leading coefficient?…

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Q: Factor completely over the real numbers. 21. f(x)=5x' +19x² +16x–4

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Q: 8. Find the zeros of each of the following by factoring: (a) 8x +12.x= 0 (b) 2x -12x - 54 0 (c) x'…

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Q: (a) 5x-3(x-2)-3(x+1)-x (b) 4-10 and use interval notation in the answer. (c) Use factoring: 2x² + 5x…

A: a) 5x-3x-2=3x+1-xb) 4-x2≤10c) 2x2+5x=3

Q: 2. Is the expression 4x³ – 3.6x? – V2 a polynomial? If so, what is its degree?

A: Let p(x)=4x3-3.6x2-2. The general form of a 3 degree polynomial with real coefficients is given by…

Q: 2. Complete the square on the given expression. x² + 6x – 7 =

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Q: 3 (i) Given that 3x³ +5x2 + px+8 = (x-2)(ax² + bx + c), find the value of each of the integers a, b,…

A: Here given that 3x3+5x2+px+8=x-2ax2+bx+c We have to find the value of the integers a, b, c, p and…

Q: Factor trinomials: 1) a? + 2a - 15 2) b? - 18b + 81 3) b2 + 9b + 20 4) c2-4c- 45 Factor Completely:…

A: As per our guidelines we are supposed to answer only first three sub-parts.Kindly repost other…

Q: 3X 3Y If the dimensions of the larger rectangle are 12 by 21, what are the dimensions of the smaller…

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Q: II. Factor completely. 1. 12xy - 8x? 2. 10b?- 15a’b² 3. 4x(x+1)-4(х+1) 4. 4x²-9y 5. xy"-y* 6. -y° +…

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Q: 9) Is x-2 a factor of x3 - 13x + 12?

A: To determine whether x-2 is a factor of x3-13x+12.

Q: 11) -10x2 - 5x - 25 der GCF: Factored Form:

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Q: How do we multiply two polynomials if neither is a monomial? For example, consider (3x + 7)(x² + 4x…

A: To Multiply the polynomials:(3x+7)(x2+4x+5)

Q: Factor. x² – 6x – 27 -

A: Given expression is                                                x2-6x-27 we have to find factor…

Q: 9) Is x-2 a factor of x3 – 13x + 12?

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Q: 2. Factor the polynomial: 300y z- 60-4x +432°. _

A: The solution for the above question is as shown below.

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

A: The given expression is,

Q: x^2-9x+18 factoring

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Q: Example 1: b and c are positive. What is the factored form of x2+5x+ 6? Try It Problem #1: What is…

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Q: P(x) = 3x^5 – 4x^3 + 2x² + 3x – 6 What is the remainder when the above polynomial is divided by…

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Q: Factorise the equation completely (x+3y)^3-(x+3y)

A: We have to factorise

Q: How do you determine whether to use a plus or minus signs in the binomial factors of a trinomial of…

A: on using the formula x=(-b+-(√b^2-4ac))/2a

Q: 1. x =6x + 91 (Factoring) 2. -2x² +146 = -34 3. x -14x + 53 = 9 (Completing the Square) 4. 3x +6x-62…

A: According to our company policy we can answer only first three sub parts and rest of the questions…

Q: express (x+6)(3x−8) as a trinomial?

A: A polynouuial with there terms is called a triuounial.we have , (x+6) (3x-8)                 =…

Q: What is - 6x ^ 4 - 18x ^ 3 - 12x ^ 2 written as the product of a polynomial with positive…

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Q: Q3//A/By using co- factor 1 -2- if AD find A1 =? %3D 3. 2-

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Q: The polynomial p(x) = 6x4 - ax3 - bx2 + 28x + 12 where a and b are constant, has factors (x+2) and…

A: The given polynomial is p(x)=6x4-ax3-bx2+28x+12 since x+2 is the factor so x=-2 will make the…

Q: 1) x² + 5xy - 3x (Common Monomial Factor) 2) 25ax? - 9a (Difference of Two Squares) 3) 125x'- 8y…

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Q: Q2. Factorise completely (i) 3x − 6y + ax − 2ay (ii) p2 − 1 (iii) x2 − x − 12 (iv) 2x2 − 5x − 7

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Q: Is x+3 a factor of -x^3+3x-18. Yes or no.

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Q: 2 3x2 (5x) 3

A: Given polynomial is p(x)=3x25x-23x3

Q: The polynomial 3x2 + bx - 4 has x - a as a factor, where a #0. Express b in terms of a.

A: Given polynomial is 3x2+bx-4...........(1) (x-a) is a factor of (1), so plugging x=a in the given…

Q: Factor completely: 4x+36 A 4r+30(xr-3) Bx+6)(x-6) C-4(x+3)Ộx-3) D-4x+6/)

A: Factor completely.     4x2+36

Q: (x - 2) is a factor for x2 - 5x + 6. صواب (خطأ

A: For   x-a to be a factor of a quadretic equation then x=a is a solution of the quadretic equation.

Q: Factor the polynomial completely. 12) xy + 11x - 5y -55 13) x2 - x - 20 14) 7x2 – 5x- 2 odetd .00…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 2) A) (3x + 4)(x - 5) B) (3x- 5)(x+4) C) (3x- 4)(x+ 5) D) (3x+ 5)(x - 4) What are the factors of…

A: 3x2+7x-20 3x2+12x - 5x - 20 3xx + 4 - 5x + 4 3x- 5x + 4

Q: Factor out the greatest common factor from the terms of the polynomial 6x3 – 12x2 + 18x. A x2(6x –…

A: Factor out of the greatest common factor from the term of the polynomial 6x3-12x2+18x.   Here i…

Q: Factor the polynomial: 32y2-48y+18

A: Given,

Q: Factorize the Polynomials : (1 a) x- 27= b) 4x* - x2 - 4x²y² + y2

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Q: Find the roots of the polonomials: 11)      (x^5)+(x^3)+(8x^2)+2 10)      (x^5)-(x^4)-(16x)+16

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Q: Factor the polynomial. x2 - 4y2- 6x + 9

A: x2-4y2-6x+9

Q: Factor the polynomial z2 - 10z – 16x² + 25-8xy-y² completely.

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Q: Factor each polynomial. 59. 9a2-16 61. X4-16 65. (a+b)2-16 69. X2-8x+16-y2 73. 8-a3 75.  125x3-27…

A: Hey, since there are multiple questions posted, we will answer first three questions. If you want…

Q: Factor the polynomial. y2 - x2 + 8y + 16

A: we have the polynomial y2-x2+8y+16=0

Q: 2. Add one term to the polynomial expression 14x19 9x15 +11x* + 5x² + 3 to make it into a + 11x+ 5x?…

A: Consider the polynomial  14x19-9x15+11x4+5x2+3