Do the polynomials x3−2x2+1 ,4x2−x+3, and 3x−2 generate P3(R)? Justify your answer.

Q: In Z,[x] The quotient when 5x* + 3x² + 1 is divided by 3x² + 2x + 1 is 4x² + 3x + 6. a) True b)…

A: We decide whether given statement is true or false

Q: Which polynomial expresses the product of 4y(3y2+7y−11)?

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Q: Given that (2x - 1) and (r + 3)are factors of the polynomial,2a + 13x2 + 17x 12, what is the third…

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Q: n of the dif 1x² + c-

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Q: Subtract the polynomials: (x3−x2−2x)−(−11x4−9x−6)

A: We need to subtract the polynomials. Formula used:

Q: Is (x + 3) a factor of 2x4 + 3x³ – 5x² + 2x – 6?

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Q: Marcus states that the polynomial expression 3x3 – 4x2y + y3 + 2 is in standard form. Ariel states…

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

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Q: What is the degree of the polynomial5x4 - 2x3 + 4x2 + 5?

A: 5x4 - 2x3 + 4x2 + 5

Q: What is the number of terms in the polynomial (2a - 5)(a^2 -1)?

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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: Is the expression 4x3 - 3.6x2 - 22 a polynomial? If so,what is its degree?

A: 4x3-3.6x2-22 is polynomial because the powers are positive.

Q: The polynomial 3x? + bx - 4 has

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Q: 16. Factor out the GCF from the polynomial. .2 3xy? - 9xz* + 8y?z

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

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Q: Is (x + 2) a factor of the polynomial: x^4 + x^3 - 2x^2 + 3x + 7, and what was the remainder? * no,…

A: Solution

Q: Subtract the polynomials (9x-6) - (-5x + 7)a. 14x - 13b. 4x + 1c. -4x + 13d. -4x - 13

A: Consider the provided polynomial, 9x-6--5x+7 Subtract the polynomial.

Q: Why is x-3 a factor of m(x) x^3-x^2-5x-3

A: It is  polynomial equation.

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

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

Q: Simplify the polynomial (3x² + 2xy + 5y²) – (-6x² 2xy + Зу?)

A: Given polynomial3x2+2xy+5y2--6x2-2xy+3y2

Q: If the polynomial ax + bx– 17x-9 is divided x +1, the remainder is -22. If it is divided by x-2, the…

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Q: Why does positive 6 count as the greatest commen factor when the eaquation is y=x^2-12x+36?

A: To find the commen factor

Q: A soft-drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans…

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Q: Evaluate the polynomial  -2x2 + 6x - 2 , when x = 2

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Q: Is x=3 a zero of the polynomial x^3-21x+20? Why or why not?

A: Let, f(x) = x3-21x+20 Zeros of a polynomial can be defined as the points where the polynomial…

Q: Do the polynomials x³ + 2x – 4, x³ + x² – 3x + 1, and æ³ + 5 generate P3(R)? Explain. - -

A: Here generate means span.  The span of a set of vectors is the set of all linear combinations of the…

Q: Given : When a polynomial x3 + x2 + 7x − 7 is divided by another polynomial, the quotient is x2 +3x…

A: We know that: dividend=divisor×quotient+remainder. Here given that: Dividend=x3+x2+7x-7…

Q: The area of the photo frame can be expressed as the polynomial 24y2 - 31y- 15. Which equation could…

A: The area of the phote frame is 24y2-31y-15

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

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Q: Is (x− 3) a factor of 2x4− 7x3 + 8x2 − 17x + 6?

A: The given function is,

Q: Which of the following is 2x(x+ 4)(3x+1)/4x2(3x+1)(x+2) simplified?

A: Simply cancel out the common factors from numerator and denominator and write the remaining…

Q: Do the polynomials a – 2x2 +1, 4.x² – x+3, and 3x- 2 generate P3(R)? Justify your answer.

A: Given polynomials are x3-2x2+1, 4x2-x+3 and 3x-2. It is required to find whether they generate…

Q: Simplify the Polynomials – 2x (5x – 15) -10x2 + 30x 3x2 – 17x - o M&Ms 10x? + 30

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

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

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Q: (d) Show that x² – 4 is a factor of x* – 5x³ + 2x? + 20x – 24.

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Q: Find the sum of the coefficients of ( 3x + 2y -2)⁸.

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Q: Add the polynomials (9x-6) + (-5x + 7)a. 14x + 1b. -4x - 1c. 4x +1 d. 4x + 13

A: Consider the given expression is, (9x-6)+(-5x+7) Solve the equation as,…

Q: Use the formula for multinomial coefficients to expand (x^1 + 2x^2 + 3x^3)^4

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Q: Find the remainder when x-4x+ px - 8 is divided by x-4.

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Q: The polynomial 6x^3 + mx^2 + nx - 5 has a factor of x + 1. When divided by x - 1, the remainder is…

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Q: What is the result when 2x- 13x2 - 5x - 14 is divided by x- 7? If r(x) there is a remainder, express…

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Q: Is (x+3) a factor of 2x2 + 7x + 3

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Q: What is the sum of the polynomials 1 - 2x + 3x^2 and 8x^2 + 30x - 6

A: sum of the polynomials 1 - 2x + 3x^2 and 8x^2 + 30x - 6 = 1 - 2x + 3x^2 + 8x^2 + 30x - 6

Q: Find the quotient. x2 + 5x 口xチロチ口;r+ロ 2х - 6 x² + 2x – 15

A: It is given that,x2x-6÷x2+5xx2+2x-15 We have to find the quotient.

Q: In Z,[x] The quotient when 5x* + 3x² + 1 is divided by 3x² + 2x + 1 is_ 4x² + 3x + 6 . a) True b)…

A: Note: We are allowed to solve only one question at a time kindly upload other questions as different…

Q: what is the standard form of -4x=-3y+3

A: Given linear equation is  – 4x = –3y + 3

Q: What is the GCF of 6x(x+1)(x-2) - 8x(x+1)(x+2)

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Q: Do the polynomials x3 – 2x2 +1, 4x² – x+3, and 3x – 2 generate P3(R)? Justify your answer.

A: If x^3, x^2 and x all have the same value =0, then all are linearly independent and it the basis of…

Polynomials

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