For Exercise, a. Divide the polynomials. b. Identify the dividend, divisor, quotient, and remainder. 3x* – 2x – 15x² + 22x Зх — 2

Q: Show all steps to subtract the two polynomials and simplify: (6x5 + 9x2 + 7x) - (-2x5 - 6x2 + 6) =

A: We distribute the negative sign

Q: Evaluate the polynomial for  a = −3 and b = 4…

A: Evaluate the polynomial for  a = −3 and b = 4…

Q: Is the algebraic expression 2x 5 + 4x 4 a polynomial (Yes or No). If it is a polynomial, state the…

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Q: What polynomial represents the perimeter of the rectangle below? A. 8y- 20 feet B. 16y - 20 feet C.…

A: The perimeter P of a rectangle is calculated using the formula: P=2l+w, where l is the length and w…

Q: Evaluate the following polynomial expression when a = -1, b = 5, and c = -2. a b+ ca- 14b O -51 145…

A: Given polynomial is a4b+ca4-14b Given values are a=-1, b=5 and c=-2 Evaluate the given polynomial

Q: The given polynomial expressions represents the volume and the height of a Casssava cake sold at…

A: (1) Consider the provided information, We have the polynomial of the expression volume and the…

Q: Which polynomial expression below factors to (2x+ 8)(3x - 2)? O 6x2 - 20x + 16 O 6x2 – 4x - 16 6x2 +…

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Q: Simplify the following polynomial by combining like terms. 8z - 12 + 6z + 9 O 3- 14z O 14z -3 O 11z…

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Q: Amelia is simplifying the polynomial expression in the box. (2x? + 6x²- 7x -4) – (2x² + 9x – 3) If…

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Q: Summarize in your own words how you would find the GCF of the following polynomial. 12x y + 16x'y +…

A: In this question , we can find GCF (Greatest common factor ) of the given polynomial. Firstly ,…

Q: polynomial

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Q: Evaluate the following polynomial expression when a = -1, b = 5, andc = -2. %3D atb + cat - 14b O…

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Q: Which of the following is the correct factorization of x3 + 8? (x+2)\left(x^{2}-4 x+4\right)

A: Given :               x3 + 8It can be written as :         x3 + 23

Q: Divide the first polynomial by the second. х +3x3 -х? -х +6 i. х +3 х* -13х -42 ii.

A: We use long division method for solving these problems

Q: - To subtract polynomials, we subtract terms. So (2x + 9x + x + 10) - (x + x + 6x + 8)

A: In the subtraction of two polynomials , we subtract the second polynomial from the the first…

Q: Identify the end behavior for the following polynomial a) ↑↑ 个个 8r7 +5x³2x² + 1 此 b) ↓ c) ↑↓ d) ↓↑

A: Given function fx=8x7+5x5-2x2+1 Identify the end behaviour of the polynomial.

Q: Which polynomial represents the difference between 6x2 + 3x - 8 and x² – 3x + 4? F 5x2 – 12 G 7x2 +…

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Q: To subtract polynomials, we subtract terms. So

A: two polynomials are given , we have subtract the polynomials

Q: 25x'y +35xy +50xy? 3.,3 5x'y

A: 5) We have 25x2y2+35xy3+50x3y2−5x3y3

Q: Find the product. (x + 5)(x2 - 5x + 25)

A: Given,              ( x + 5 )( x2- 5x + 25 )

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: Which of the following is the correct factorization of x3 + 8? (x+2)^{3}

A: Answer: (x+2)3 is correct factorization.

Q: Write as a product of prime polynomials.   150x^2+120x+24

A: Recall: Prime polynomials:     A polynomial with integer coefficients that cannot be factored into…

Q: Which of the following polynomial expressions factors into (3x + 3)(3x + 8)? O 9x? - 30x - 24 O 9x2…

A: We can find the answer as below.

Q: Each apartment in a building rents for 800 - d dollars per month. If the building has 6d + 12…

A: The rent of each apartment in a building is 800-d dollars per month. and it is given that in the…

Q: A polynomial expression is shown in the box. (5x³ + 2ay? – 4y³) – (10 – 8zy? – 12y³) Which choice is…

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Q: Enter the degree of the polynomial below. 5x5 + 8x²+2x-3x - 8x4 - 4x5 A. 8 OB. 9 О с. 6 OD. 5

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Q: Use the distributive property to multiply the polynomials. 1. ala + 8) - 2. 56(4b - 6b² - 6) = 3.…

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Q: 3. Given the following polynomial, describe the end behavi- y3-8x3+7x-2. O Left Side: Upward…

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Q: (3.r² +8r - 5) – (4.x² – x - 8)

A: Subtract the polynomial (3x²+8x-5)-(4x²-x-8) =3x²+8x-5-4x²+x+8 =-x²+9x+3

Q: Which of the following is the correct factorization of x3 + 8? (x+2)\left(x^{2}+2 x+4\right)

A: Given expression : x3+8   Formula used: x3+y3=x+yx2-xy+y2

Q: Which of the following polynomial expressions factors to x'(4x - 7)(4x + 7)? O 16x6 – 49x O 16x° +…

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Q: The addition of two polynomials is shown below. (ax? + 5x – 6) + (3x² – bx + 8) Jerry claims that…

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Q: Express as a polynomial.

A: Here, both expression 3a-5b and 2a+7b are binomials. The product of two binomial can be computed…

Q: Find the degree of the polynomial: 3a b5 + 5a?b – 2aºb. O 22 O 9 O 9 О 10

A: Since highest degree term is the degree of the polynomial. Hence Degree of the given polynomial is…

Q: Evaluate the polynomial 3ab - 5ab^2 + 2b for a = -2 and b =-1

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Q: Q2 Find the number of zeroes at the end in the product of, 56 x 67 x 78 x . . x 5051

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Q: Divide the polynomials. 2xto the third + 3 xto the 2 + 2/x + 2

A: SOLUTION-

Q: Which of the following polynomial expressions factors into (2x - 6)²? O 4x2 - 24x + 36 O 4x2 + 24x +…

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Q: Evaluate the following polynomial expression when a = 2, b = 4, and c = 5. 14a b- c O 55 О219 О 217…

A: a detailed solution given below

Q: Add the polynomials: (– 10x4 + 7a – 5) + ( – 12æ³ – 7æ² + 4)

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Q: Find the product : (x + 5)(x2 - 5x + 25).

A: Here given as x+5x2-5x+25

Q: Perform the indicated operations. Indicate the degree of the resulting polynomial. (7x2 - 8xy + y2)…

A: Given , (7x2 - 8xy + y2) + (-8x2 - 9xy - 4y2) Removing parenthesis by distributing sign,

Q: To multiply a polynomial by a monomial, we ??

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Q: add the given polynomials. -5t - 4 and -6t + 9

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Q: Simplify the following polynomial by combining like terms. 3x + 8x - 2- 22 +7x– 6 O 2x + 30x -8 O…

A: Combining like terms

Q: Which polynomial gives a quotient of (3x^2 + 2x + 4) and a remainder of 19 when divided by (2x – 3)?…

A: We have to find polynomial on the basis of given information.

Q: Without actually multiplying, decide which of the following polynomials could be the product of (r-…

A: Let (x-a)(x-b)(x-c)=0 is a polynomial  Then roots of the polynomial are a,b,c By substituting it in…