Compute the remainder if we divide 2x³ + x² - 18x + 7 by x -2. A -8 в) -9 7 D 6

Q: Show that x² − 4 is a factor of x⁴ − 5x³ + 2x² + 20x − 24

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Q: List the zeros of y (x + 7)(5x + 6). If you have more than one solution, separate them with commas,…

A: The zero product property states that if a·b=0, then either a=0 or b=0.

Q: If  x3 + 7x - a has a remainder of 1 when divided by x+1 then a has a value of __?

A: Please refer the attached image for complete solution.

Q: What is the value of k so that the polynomial P \ left (x \ right) = x ^ 5−23x ^ 4 + \ left (2k − 3…

A: Given : P(x)=x5−23x4+(2k−3)x3−17x2−54x+40 Q(x)=x-2 Remainder theorem states that x -a is the divisor…

Q: The polynomial 2x^3 + ax^2 - 10x + b has a factor of ( x-1 ) and has a remainder of 15 when divided…

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Q: 16. Find the quotient q(x) and remainder r(x) if /(x) is divided by p(x). Show all work. (x) = 2x +…

A: given polynomial  fx=2x4+2x3-5x2-6 and px=2x2+1 claim- find the quotient and the remainder by…

Q: 5. Write the perimeter of the figure as a polynomial. Simplify. 2x 4x+1 3x O13x+2 O13x+1 09r+1 09r+2

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Q: A, 6x-5 8x + 23 Find x in the given figure if M²AOC = 130°. O A) 8 O B) 10.5 C) 14 O D) -14

A: We have to find

Q: 8olve the tollowing paots By Pong division method @(2x+10x+12)÷ (x+3) D(4x²-7x²-11x+5) = (4x+) b. O…

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Q: 6. What is the remainder when P(x) = 15x100-10x0 +5x'- is divided by x+1 %3D a) -1 b) 1 c) 0 d) 9 e)…

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Q: The remainder upon the division of x 98 + 4 by x - 2 in z, is: 1 6. None

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Q: The remainder upon the division of x75+ 6 by x-3 in z, is: 5 6.

A: The remainder upon the division of x75+6 by x-3 in ℤ7is determined as shown below

Q: The value of x such that 8x+4, 6x - 2, 2x +7 will be consecutive terms in an AP is A. 2 В. 15 С.…

A: Given that  8x+4, 6x-2, 2x+7 will be consecutive terms of an AP. To find The value of x.

Q: 3. Find the quotient and remainder if 3x* – 5x + 7x – 4 is divided by x - 3. (r

A: Given: 3x2-5x3+7x-4 is divided by x-3

Q: Let P(x)—-x*+2х*-бх'-5х—1 and D(x)—x+1 Determine the remainder when P(x) is divided by D(x)

A: P(x)=-x23+2x12-6x7-5x4-1D(x)=x+1x+1=0x=-1

Q: If p(x) = 2x- 3x+ 5, what is the remainder of p(x)+ (x- 5)? 1)-230 2) 0 3) 40 4) 240 %3D

A: From the Remainder Theorem

Q: 2. For what values of b will the polynomial ƒ (x) =-2x + bx² – 5x +2 have the same remainder when…

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Q: For what value of k will the remainder be zero? (x3 – 8x2 + x + k) ÷ (x – 8)

A: we have to find the value of k such that remainder becomes 0.

Q: Find the remainder if 3x3 – 4x2y + 5xy2 + 6y3 is divided by x2 – 2xy + 3y2.   A. 2   B. 1   C.…

A: Topic = Algebra Remainder = 0

Q: 2e.pcode+ PCod2つピ+ x+9X+b.f P(x) is divided by(x-2), the renainder is -7 and if Plis divided (xt),…

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Q: Which of the following has a remainder of 16 when divided by (x + 2)?  a 3x3 − 7x2 − x + 1 b 3x3…

A: Which of the following has a remainder of 16 when divided by (x + 2)?

Q: Find m so that x+5 is a factor of 5x3+29x2+mx+20

A: Let f(x)=5x^3 + 29x^2 +mx+20 , if (x+5) is a factor of f(x) then by factor theorem f(-5)=0

Q: 8. If (3x- 5x + 5y– 2) is subtracted from (-2x² + x- I), what is the coefficient of x in the result?…

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Q: When dividing x^3+2x+4 by 3x+2 in Z7[x], the remainder is * O 4 O None of the choices 2.

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Q: If (x-3) is a factor of x3 - 13x+ 12, what are the other factors. A. (x-6) and (x+2) B. (x- 2) and…

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Q: Find m so that x+4 is a factor of 5x^3 +18x^2+mx+16

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Q: XV bisects TXU. If MZTXV (7x+9)° and mZVXU = (10x-6)°, find mZVXU. T 88 44 O 5.1 None of the above

A: A line segment is a part or portion of a line that formed by joining the two points. A line segment…

Q: Which polynomial has (x + 1) as a factor? а. т3 + 2а? —19х—20 b. z3—21х + 20 с. 23 + 8х + 11х—20 d.…

A: We have to check which equation gives us 0 when we put as x=-1

Q: (d) Show that x^2 − 4 is a factor of x^4 − 5x^3 + 2x^2 + 20x − 24.

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Q: The remainder upon the division of x75+ 6 by x- 3 in z, is: 1 5 6.

A: I am solving it in step 2

Q: 47. a) If (x – 2) is a factor of 2x – 3x + k, find k. - b) When ax – 4x² + 5x – 3 is divided by (x +…

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Q: When p (x)=x3 +kx2 +8 is divided by x +3, the remainder is the same as when q (x)=2x3+ kx -21 is…

A: Remainder Theorem  When a polynomial f(x) divides by x-a then its remainder is f(a)    So by…

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

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Q: 1(d) Show that x − 4 is a factor of x − 5x + 2x + 20x − 24

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Q: What is the remainder of a divided by m if m|a (m divides a)?

A: If b is remainder of that problem then a=mk+b for some integer k

Q: Find m so that x+4 is a factor of 5x^3 + 18x^2 + mx + 16 i need a detailed explanation, please.

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Q: Compute the quotient and the remainder of (3x – 8x² – 36x + 5) ÷ (x – 5)

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Q: 4. Use the Zero Product Property to solve for æ. a. (æ + 13)(a - 7) = 0 b. (2x + 3)(3x – 7) = 0 c.…

A: a) (x+13)(x-7)=0b) (2x+3)(3x-7)=0c) x(x-3)=0 Note:   Multiple sub parts are given, we are answered…

Q: The remainder when P(x) = 2x3 – 3x2 + 4 is divided by D(x) = x + 1 usikynthetic division is - a) 3…

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Q: A polynomial division is performed and the result is given as: (2) 1+ (x) y (x) 6 = (x) A The…

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Q: (d) Show that x? 4 is a factor of x4 5x3 + 2x2 + 20х— 24.

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Q: When dividing x^3+2x+4 by 3x+2 in Z5[x], the remainder is * O 5 O 4 O 2 O None of the choices

A: Just use long division and keep in mind that we are doing operations modulo 5.

Q: Use polynomal division to simplify each of the following r+3r - a2 -r+6 a) 4. 2.r-5x + 2r? b) x+3…

A: Please see the explanation below

Q: 15) Find the remainder of the polynomial 5x4 – 3x3 + 9x – 1 when divided by x + 3

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Q: 5x How many linear and distinct factors are in the denominator of x³ + x2 + 4x+4

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Q: Suppose p () = x³ - 2x2 +13x + k The remainder of the division of p (z) by (x+1) is -8. What is the…

A: The given polynomial is P(x)=x3-2x2+13x+k It is given that the division of p(x) by (x+1) is -8 .

Q: List the zeros of y = (x + 5)(4x + 7). If you have more than one solution, separate them with…

A: We have to find zeros of the given function or polynomial: y=x+54x+7 To find the zeros of any…

Q: Is x + 4 a factor of x° + 8x? 3x 76? Select an answer O The remainder when you divide is Is 2x 7 a…

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Q: what is the remainder when g(x)=x^{3}-3x^{2}+4x-12 is divided by (x-1)/

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