A local city wants to compare the number of those with a car and those without a car, represented by the polynomials below. Those that do not have a car: -5k4 + 8 Those that have a car: 2k4 + 3k2 - 4 Which polynomial represents how many more people have a car than those that don't?

Q: A student is multiplying the polynomials (2x2 - 4x + 1)(3x? + 2x - 4) using the tabular method. 2x2…

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

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

Q: Three students used different methods to multiply polynomials. Carefully observe each student's work…

A: Here the polynomials are x-6 & x-9. The vertical terms must be x & -9 and the horizontal…

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: 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: List the degrees of the term and the degree of the entire polynomial. 2 4p +5p 6 2 degree of 4p…

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Q: Factor. If the polynomial is prime, so indicate.  6s^5 - 26s^4 -20s^3

A: GCF is 2s^3. Factor it out.

Q: Which polynomial lists the powers in descending order? OA. 3x6+10x² + x³ + 8x³ - 2 OB. x+3x6 +8x³ +…

A: To find which of the given polynomial has powers in descending order that the x has powers in…

Q: Which of the following factors produce the following polynomial expression: x+ 5x +4x-47

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Q: Which of the following polynomials is exactly divisible by (3x+1)? A. 6x2+17x+5 B. 9x2+6x+1 C.…

A: We have to check which of the given polynomials is exactly divisible by 3x+1. Factor theorem states…

Q: Which polynomial is prime? x3 + 3x2 + 2x + 6  x3 + 3x2 – 2x – 6  10x2 – 4x + 3x + 6  10x2 – 10x +…

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Q: Classify the following polynomials by degree and number of terms. 4p3+2p2+19p−5

A: Given: 4p3+2p2+19p-5 A polynomial with 1 term is a monomial. A polynomial with two terms is a…

Q: Add the polynomials: (−10x4+8x3−x2+10x)+(−8x3−5x2−4)

A: We need to find the given sum of polynomials

Q: determine the degree of the given polynomials. 8x6 + 9

A: Given- 8x6+9 To determine- The degree of the of the above polynomial. Concept Used- The degree of a…

Q: subtract the polynomials using the horizontal format. 3x2 - x + 2 from 7x2 + 9x + 8

A: Given: fx=3x2-x+2, gx=7x2+9x+8 For substracting fx from gx, we use value of fx and gx

Q: What is the greatest common factor of the polynomial: 4w + 8w + 28w Preview Box 1: Enter your answer…

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Q: Add the 2 polynomials: (8x4−4x3+2x) + (5x4+3x3+7)

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Q: (-4x4-11x3-10x2+5)-(-10x5+x4-5x-8) Subtract the polynomials and simplify the result completely:

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Q: S. Which polynomials gives a quotlent of (3x + 2x+ 4) and a remalinder of 19 when divided by (2x-3)7…

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Q: Divide the following polynomials k- 4k* - 3k - 5k + 6k – 3

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you.  If…

Q: Find the LCM or LCD of the following polynomials - x – 2 and – 6x – 7 and x – 9x + 14

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Q: A farmer must add the areas of two plots of land to determine the amount of seed to plant. The area…

A: An algebraic expression is a combination of constants, variables, and operators. The four basic…

Q: Determine whether the following polynomials span P2. P1 - 2-x+ 6x?, p2 - 6 + x, P3 = 28 + 2x + 12x²,…

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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: subtract the polynomials using the horizontal format. 2a2 - 6a - 4 from -4a2 + 6a + 10

A: We have to subtract: -4a2+6a+10-2a2-6a-4

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

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Q: Add or subtract the polynomials (7x3-x2y+4y3) + (2x3+5x2y+3xy2) - (5x2y+6xy2+y3) ?

A: Distribute the signs.

Q: The following polynomial has factors (x + 8) and (3x + 2). Determine the value of k. -6x³-55x² + kx…

A: We have a polynomial -6x3-55x2+kx-16 Now, x+8and 3x+2 are the factors. So,  x+8=0 ⇒x=-83x+2=0 ⇒x=-23…

Q: Determine whether the following polynomials span P2. P1 = 5 - x+ 4x², p2 = 7+ x, p3 = 38 + 2x + 8x²,…

A: Determine whether the following polynomial span P2 Given information: The polynomials are…

Q: Which of the following operations on polynomials will always result in another polynomial? Select…

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Q: 6) Divide the following polynomials c)(2x3 + 19x2 – 21x) ÷ (2x² + 21x)

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Q: B: x - 6x + x

A: The solution are next step..

Q: Add the polynomials. (6x^5-5x^3+12x+8)+(7x^5+7x^2+3x^4)+(5x-12)

A: The given expression is  (6x^5-5x^3+12x+8)+(7x^5+7x^2+3x^4)+(5x-12)

Q: Given the following polynomial determine the end behavior 4x1234x7 + 15x² ↑↑ ↓↑ ↑↓

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Q: A farmer must add the areas of two plots of land to determine the amount of seed to plant. The area…

A: Here we need to find the total area of the plot. Two polynomials are given which representing the…

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

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Q: add the given polynomials. 6x2 + 8x + 4 and -7x2 - 7x - 10

A: We have to add the given polynomials: 6x2+8x+4 and -7x2-7x-10. Adding the given polynomial,…

Q: Simplify the polynomials by Combining the like temms and äccanee the polynomial in descending order

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Q: Given the polynomial P(z)=r7-935-3-222-9+18, determine whether x+3 or x-3 is one of its factors.

A: Please see the answer in step 2

Q: Which polynomial is the greatest common divisor of X5 + 2X4 – X – 2 and X4 +2X³ + X + 2 in Q[X]?…

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Q: add the given polynomials. 15a2b2 - ab and -20a2b2 - 6ab

A: From the given data:

Q: Determine whether the following polynomials span P2. P1 - 2-x+ 6x?, p2 = 7 + x, P3 = 32 + 2x + 12x²,…

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Q: Add the 2 polynomials: (- 6x* – 72° + 3x) + ( – 10x4 + 102³ + 9)

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Q: The following polynomial give the number of terms 5x3 – 3x2 + 2x - 9

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Q: subtract the polynomials using the horizontal format. -3a2 - 6a + 3 from 3a2 + 6a - 11

A: A polynomial is an expression consisting of variables and coefficients, that involves only the…

Q: Add or subtract the following polynomials. (3k? + 5) – (-16x² –7) O 19x² + 12 O 16x? + 15k 31x2 O…

A: Given

Q: Do the polynomials x² + 2, 2x² – x + 1,x + 2, and x² + x + 4 span P2?

A: Solve the problem as shown below see if they are linear combination of each other and then verify,

Q: Simplify the polynomial. 5ab + 5ab + 9ab O- 19ab O10ab O9ab O19ab O14ab

A: Given : To simplify the polynomials

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…

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.