Which of the following expressions below shows the complete factorization of the quadratic expression 2x +4x- 6x? A. (2x´ - 2x)(x + 3) В. 2x(x + 2x -3) 2x(x - 1)(x +3) 3 2 D. 2(x +2x-3x) B. C. O O

Q: Which of the following is equivalent to 4x? + – + 9+++÷2x² +++x + – + 3+? - 2x 3

A: We need to solve +2x4x2+-+9++++32x2+++x+-+3+. So,…

Q: The following expressions except one have a common factor. Which expression doesn't belong? O 3x?…

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Q: Express the product of and 216 in simplest form. r+5 2+5x+6

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Q: Factorise these expressions: 2x2 + 13x + 6- 5x2-9x+4 (5x +4y)2 (20 + 7p)? x2- q? 4x2-0.25

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Q: 9. Arroyo Valley High School plans to construct a rectangular soccer field with a perimeter of 250…

A: The given quadratic expression is x250-2x2-3600

Q: What is the coefficient of the first term of 3x² - 2x +9? O 14 O 1 О 24 Оз

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Q: Which of the following expression is a non polynomial ? O 4a4 + 18xy? O x5 + 5xy + y² – 5 7xy + 6 O…

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Q: What are the solutions to x2-14x+23 =0? Select all that apply.

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Q: By expanding out the brackets and collecting like terms, the expression -(x – 4)(2æ – 1) + (3x –…

A: Please refer to the image below

Q: What are the solutions of the équation below? 5x(x + 8) = 0

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Q: Which of the following expressions has the greatest common monomial factor of x²y?? O 7xty$ - 13x³y²…

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Q: Which of the following is the correct factorization of 6x2 + x - 12? I $(3 x+4)(2 x+3)$ II  $(3…

A: The given expression is 6x2+x-12

Q: Determine the value of 7A+7M if 2x4 + 3x3 + + 8x2 + 9x + 3 A За + М + (1+x²)² х — 3 x(1+x²)² 1+x² ||

A: Given: 2x4+3x3+8x2+9x+3x1+x22=Ax-x-31+x2+3x+M1+x22

Q: What is the correct factorization of 2t2 -t-3? O (2t + 3)(t – 1) O (2t – 3)(t + 1) O (2t – 1)(t+3).…

A: From the given polynomial; 2t2-t-3

Q: 12 Given that, for all values of x, 4x-8x2-12x + 11 (2x + k)Q(x) + where Q(x) is a quadratic…

A: Quadratic expressions

Q: The following are the product of the sum and difference of two terms EXCEPT? a. a- 25b? b. 16a - 9b2…

A: Given information:- The following are the product of the sum and difference of two terms EXCEPT? a.…

Q: Simplify the polynomial (3x2 + 2xy + 5y²) – (-4x² - 2ху + Зу?) -12x? + xy + 8y? O 7x? – 4xy – 8y² |…

A: Given query is to simplify the expression.

Q: Which of the following expressions has the greatest common monomial factor of 4x y? O 17x3y + 8y3-…

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Q: Factor the following quadratic expression: 3x? - 2x 5 O (3x + 5) (x + 1) O (3z + 5) (x – 1) O (3z -…

A: We will factorise it by splitting the middle term

Q: dy Find dr if 4x + 3y? = 25. 2x2 None -2x -2x2

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Q: Rewrite - 5a3 - 14x2 - Зх-25 - 5x + 4 in the form r(x) q(x) + 5x + 4 - 5æ3 – 14x2 – 3x - 25 %3D 5x…

A: This question is based on polynomial division.

Q: Given the following expression, what is the quotient? 2x3-x2 - 20x +15 x-3 A 2x2 - 5x +7 B x²+x-1…

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Q: Consider the algebraic expression (6x – 12) + 2(4x-1). Which response shows the polynomial after the…

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Q: If B = x -9 and C = 2x + 5+ 5x², find an expression that equals 2B + 2C in standard form.

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Q: Which statement about 6x + 7x – 10 is true? O One of the factors is (x + 2). O One of the factors is…

A: To factorise ax2+bx+cwe have to break 'b' in such a waythat sum is 'b' & the product is ac.

Q: 3. Factor each of the following quadratic expressions completely using the method of grouping: (a)…

A: Solution:  Here. a) 102+6x+35x+21

Q: Which of the following polynomial expressions factors to x(2x-4)(3x-3)

A: Which of the following polynomial expressions factors to x(2x-4)(3x-3)

Q: Which of the following expressions below shows the complete factorization of the quadratic…

A: Break middle term in such a way that it's product should be equal to product of first and last term

Q: 2. Use this expression to answer the questions that follow 7x +5x- 3x2 + 12 - 6x - 4 + x²

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Q: What is the product of x - and 5x2 - 2x + 6 ? Write your answer in standard form. (a) Show your…

A: a) Given 12x-14 and 5x2-2x+6 The product of this have to be taken and write it in standard form

Q: Subtract. (4x2 - 7x +7) - (-x² + 3x + 3) (4x2 - 7x +7) - (-x? + 3x + 3) =O (Simplify your answer. Do…

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Q: Factor the following quadratic expression: 3x2 +11a 4 O (z – 4) (3x + 1) O (3x + 4) (x – 1) O (z +…

A: 3x2+11x-43x2+12x-x-4

Q: 15x? + 3x - 21 O trinomial quadrinomial O binomial O monomial

A: Solution

Q: 1) Name the polynomial a) 3x? + 9x - 1 b) 2x* - 9x? - 1

A: a) 3x2+9x-1The above polynomial has a degree 2⇒It is quadratic polynomial

Q: Which of the following is a factor of the cubic expression x'-2r -5x+6? (1) x+1 (3) x-3 (2) x-2 (4)…

A: (x-3) is the factor of given equation.

Q: Select the expressions that are equivalent to 9y + 4y.

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Q: Which of the following is the correct factorization of 27x3 - 1? O (3x - 1)(3x² + x + 1) O (3x +…

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Q: Which of the following is a factor of (2x³ - 13x² + 17x + 12)? X - 3 O x+2 X - 1 X + 4

A: Let the given polynomial equation be f(x).

Q: Rewrite - 9a4 + 9x° – 8x? + 8x – 5 in the form (3x2 + 2x + 2) x q(x) + r(x). – 9x4 + 9x 8x2 + 8x – 5…

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Q: Which of the following is equivalent to (3x - 8)(3x - 2)? O gx2 - 18x+ 16 O 9x² + 18x -16…

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Q: Which of the following polynomial expressions factors to 2x2(x + 1)(3x - 2)? O 6x* + 2x³ – 4x² O 6x…

A: Given query is to find the correct polynomial for the factors.

Q: Determine the value of 5A+6M if 2x4 + 3x3 +8x2 + 14x + 3 A x-3 х — 3x + M - x(1 + x2)2 1 +x2 (1…

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Q: Express that answer in simplest form 2x + 7x +3 x'-8 x² -4 * 2x + 5x +2

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Q: Find the quotient of (2x-5x? + 7) ÷ (x - 3). 2x2 + x + 3 + 16/(x-3) O 2x? + x + 3 - 2/(x-3) 2x2 + x…

A: Given; (2x3-5x2+7)/(x-3)

Q: Let (x) = -7x* + 3x² a) A-x) = ? 2. b) Ax) = ? c) Which is (x) : even, odd, or neither ? Why?

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Q: Revlew L uonsen Show why x-3 is a factor of m(x) = x - x - 5x- 3. Justify your answer. BIU

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Q: TIs the expression 4x3 - 3.6x2 - √2 a polynomial? If so, what is its degree?

A: Given expression, 4x3-3.6x2-2

Q: If B=x-9 and C=2x+5+5x^2, find an expression that equals 2B+2C in standard form.

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Q: 9. Arroyo Valley High School plans to construct a rectangular soccer field with a perimeter of 250…

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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.