In Exercises 69-78, factor each polynomial. 69. ab - с — ас + b 70. ab - Зс — ас + 3b 71. х - 5 + 4х3у - 20у 72. х3 — 2 + 3х3у-бу 73. 2y'(3x – 1) – 7y°(3x – 1)* 74. Зу'(3x — 2)" - 5у"(3х — 2)5 75. ах? + 5ах - 2а + bx? + 5bх — 2b 76. ах? + Зах- 11а + bx? + Зbх — 11Ь 77. ах + ay + az — bx — by — bz + cx + су + сz 78. ах? + ау? — аг? + bx? + by? - bz? + сx? + су? - с2?

Q: 17) Find mzFAB. 55° 3x+2 B- A 13x-3 EXT F

A: topic - angles and triangles

Q: Factor 2x^2+ 6x + 54 + 18x by grouping * 2(x - 9)(x – 3) O (x+ 18)(2x + 3) O (x- 18)(2x – 3) O 2(x +…

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Q: 6. What should be added from 2x +3x` -- x² -1, so that it becomes exactly divisible by (x-2)?

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Q: Determine all the roots the following polynomial 24 – 2z3 + 10z² – 18z + 9 if one of the root is -j3

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Q: a 2 x 2 “corner"). Is it possible to tile the remaining squares with 3 x 1 tiles (which can be…

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A: Explanation and solutions is given below....

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Q: how many roots does -2x^(2)+8x^(9)-10x^(5)+12 have?

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Q: What values for b make the polynomial 64z2 + bz + 1 a perfect square trinomial?: * A) b = -12,144 B)…

A: Given:- 64z2 +bz +1  To find:- Value of b which makes perfect square given polynomial

Q: 9. When the polynomial mx' – 3x² + nx +4 is divided by x - 3, the remainder is 16. When it is…

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Q: 15 What are the factors of this polynomial?

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Q: Suppose that the volume V of a cylindrical can is given by the polynomialV = nh3 + nh2+ 4nh, h is…

A: Given, Volume = πh3+πh2+4πh

Q: x^3-10x^2+23x-14<0

A: Given that: x3-10x2+23x-14&lt;0

Q: 1)factor x4 - 2x3 - x2 + 10x - 8   2)factor 4x2 - 9y2

A: We have to factor the given expression.

Q: Three possible products whose factors multiply to  − 2 are

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Q: 5. x² + 3x -54T 6. x2 - 10x -24 7. x2 + x -20

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Q: + BIUAA 16 2. Which factorization is incorrect? (1) 4m² – 49 = (2m – 7)(2m + 7) (3) k +3k -4k-12 =…

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Q: 1. Factor completely. a. 64t² – 49r2 b. т? — 6т —16 с. x² + x – 20 - - -

A: Factorization:- Factorization or factoring consists of writing a number or another mathematical…

Q: Find the quotient using synthetic division. 39. (3x-20x +26x – 10) ÷ (x- 5) 40. (3x* +10x – 15x²…

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Q: .2 ペ+15X+ 32X"+23x*+25K-3 Ax (+メ+2) (x2+1)。 2.

A: ∫x6+7x5+15x4+32x3+23x2+25x-3x2+x+22x2+12dx

Q: 9) Show that (x - y²)² – (x² + y²)² = -4x²y² using the difference of two squares property.

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Q: Find the polynomial that interpolates the points (-2,4), (-1,0), (2,-1), (2.5,0), (3,1), (4, 2). Use…

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Q: In Exercises 1-2, determine the coefficient of each term, the degree of each term, the degree of the…

A: we have to determine the coefficients of each term , the degree of each term , the degree of the…

Q: Make up a polynomial that factors into a perfect square.

A: Let the polynomial be: x2-6x+9 We express it in the form of a perfect square as follows:…

Q: 9-4x2 16x² dydx 2 3/2 H/2

A: We will solve the following.

Q: By what polynomial of lowest degree must (x2 – 64)(x² + 5x – 24) be multiplied to make it a perfect…

A: Givem polynomial is (x2-64)(x2+5x-24)To find lowest degree multiplier to make it perfect square.

Q: 1) factor 4x2 - 9y2

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: -X1 + 4x2 + x3 = b1 X1 + 9x2 – 2x3 = b2 6x, + 4x2 - 8x3 = b3 (1) b, = 0, b2 = 4, bz = 0 (ii) bị = -…

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Q: For Exercises 23–28, write the answer as a single term and simplify. It is not necessary to…

A: " Since the question with multiple subparts is asked we will solve the first three subparts for you.…

Q: 23 – 522 – 9z + 45

A: Given: z3-5z2-9z+45

Q: 38)-3x+17 or 6x + 32-21 A) [-4,-2) す B) (-4, ) C) (- ) D)(-2,)

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Q: If x=9 is a solution to a polynomial equation, then (x-9) will be a factor a that polynomial

A: The given statement is true.

Q: 4. Solve for x1, x2, x3, x4 2x, + x3 - X, + 4x4 = 19 -X - 2x3 + x, + 2x = -3 2x, + 4x3 + 2x3 + x4 =…

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Q: 5. What are the roots of 4x4 + 25x3 + 50x2 + 35x + 6 = 0? A. 1, 2, 3 and ¼ В. 1, 2, - 3 and - %4 %3D…

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Q: Given the polynomial expression kz5- 2z4+ 3z3+ 5z2- 3z - 8, if k is a negative integer, how many…

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Q: In Exercises 35-36, divide the polynomial by the топоmial. 35. (15.x3 – 30x2 + 10x – 2) ÷ (5.x2) 36.…

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

Q: equations. In which for the equation of 2x^4-5x^3+10x^2-9=0 which is not a possible solution given…

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Q: 3+2x-x² -ldydx = 49T - 4. -9T -4T 4 - IT 25T 4.

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Q: Factor. 8- 125 O (4z+5)(2a²- S+ 25) O (2-5)(42+ 10z + 25) O (8z + 5) (z2- 5) O (2-5)(2z-5)(2r 5)

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Q: Exercises 151–153 will help you prepare for the material covered in the next section. 151. Replace…

A: To solve 3x3.?=9x5, consider the question mark as a and obtain 3x3.a=9x5. Then, divide both sides by…

Q: y4- 3y2-28

A: The given polynomial is: y4-3y2-28 To factorize the polynomial.

Q: Determine the nature, index and signature of 3x +5x + 3x - 2x,x, + 2x,x, - 2x,x,

A: Given: 3x12+5x22+3x32-2x1x2-2x2x3+2x3x1The nature of the given equation is a quadratic form of…

Q: 4. 2c/3c +bV125c +V3c -2b/45c 6. -6/7a'b5 +5abʻ76-6 13

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Q: 7, 3x-10x3-17x + 48x + 36-D Zeros: Factors 8.2x-x-12x + 7x+ 16x-12 0 Zeros: Factors:

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Q: Use synthetic division to show that when xn-bn is divided by x-b, where n is a positive integer, the…

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Q: 2. (6x-4x + 13x-9) +(3x +1); (By synthetic divisor bx-c)

A: In this question we have to find the solution by using Synthetic division. Note: As per our policy…

Q: Why 9(5-x)+y(5-x) is not a factored form of 45-9x+5y-xy ?

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Q: 17. How can you quickly determine the number of roots a polynomial will have by looking at the…

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Q: 2. Find the quotient of x³+3x²+3x+1 x2-1 x²+5x+4 1- x²+3x-4

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Q: 14) 5x ≤ 10 + 2(3x-4) 15) -8h +52-23

A: 14). The given inequality is: 5x≤10+23x-4 So, we can simply write as; 5x≤10+23x-45x≤10+6x-85x≤6x+2