Divide the first polynomial by the second polynomial using the long division method.  Show complete solution.  ( x³ + 3x - 4x² - 12 ) ÷ ( x - 4 )

Q: In the given equation,, find all zeros of the given polynomial   3x3- 7 x2+ 8x - 2

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Q: Does x=−5 solve the following polynomial equation? 6x7-151x5=8x4-75x2

A: Given, 6x7-151x5=8x4-75x2------(1) Substituting x=-5 in (1), we get 6(-5)7-151(-5)5=8(-5)4-75(-5)2

Q: Use the long division method to find the result when 4x³ – 26x² + 13x – 6 is r(x) divided by x – 6.…

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Q: The degree of -2x5 is

A: The degree of a polynomial is the largest exponent on the variable.

Q: Give a polynomial division that has a quotient of x + 5 and a remainder of –2.

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Q: solve a polynomial using the zero product property 5x2-2x=0 x2+x=0

A: We have to solve polynomial using the zero product property  (1)  5x2 - 2x = 0 x (5x - 2) = 0  Then…

Q: Find the factor of x^2-8x+16

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Q: Find the factor of Polynomial x^3-4x^2 + 2x-8

A: We have to find the factor of polynomial  x3 - 4x2 + 2x - 8

Q: Use the long division method to find the result when 3x³ + 10x² – 3x – 13 is divided by 3x+ 10. If…

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Q: Find the quotient and remainder using long division for x3 – 6x2 + 16x – 35 x – 4 The quotient is…

A: Long division method. Divide the first term of the dividend by the first term of the divisor.…

Q: Find the quotient and remainder using long division. x2 - 3x + 8 X - 1 quotient remainder

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Q: Find the quotient of the polynomials using LONG DIVISION. Show your solution. (3x3 + x2 -  22x –…

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Q: Use long division to solve the following: 9x+6x-18x-24x2 +3x2

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Q: Find the value by substituting the given value of x into the polynomial and simplifying. P(x) = 4x4…

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Q: Find the remainder when the polynomial x5 – 6x3 + 2x² + 18 is divided by (x – 2)

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Q: Find the quotient and remainder using long division. x2 − 4x + 10 x − 3

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Q: After performing polynomial long division, the answer may be checked by multiplying the ______ by…

A: We will first consider the given statement. The objective is to fill in the blanks.

Q: Use long division to find the quotient and the remainder when the function f(x)= 6x³ – 35x² – 98x –…

A: We will use long division first To factorize the polynomial, we will find the roots of equation

Q: Find the degree of the polynomial. x2 + 6x° + 5x + 3x° – 4

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Q: In the given equation,, find all zeros of the given polynomial   3x3+ 2x2- 7x + 2

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Q: One of the zeroes of the polynomial 2x2+7x-4 is

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Q: Solve using polynomial long division and give the quotient and remainder.  x^4+6x^3-2x+4 / x+1

A: Topic = Algebra

Q: Find the quotient and remainder using long division for x3 + 9x? + 20x + 15 x + 2

A: Definition used-                           Dividend = Quotient x divisor + remainder…

Q: By use of long division, find all remaining factors of the expression   x3+ 3x2- 22x - 24 is…

A: Using long division method to find all roots

Q: Use synthetic division to find the quotient and remainder if the first polynomial is divided by the…

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Q: Find the value by substituting the given value of x into the polynomial and simplifying. P(x) = 4x3…

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Q: Find the quotient of the polynomials using LONG DIVISION. Show your solution. (2x4 - 9x3+ 9x2+ 5x…

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Q: Divide the first polynomial by the second polynomial using the long division method.  Show complete…

A: to divide the polynomial as follows  x-3x2+3x+15x3+6x+3x3-3x2-+_____________________…

Q: Use synthetic division to solve 4x^3 - 4x^2 +5x + 6 / (x+6). What is the quotient?

A: Given that 4x3-4x2+5x+6/x+6. Use synthetic division to solve 4x3-4x2+5x+6/x+6 and find the quotient.

Q: The polynomial 3x2 + bx - 4 has x - a as a factor, where a #0. Express b in terms of a.

A: Given polynomial is 3x2+bx-4...........(1) (x-a) is a factor of (1), so plugging x=a in the given…

Q: Simplify and write the resulting polynomial in standard form and indicate its degree. (-6x3 + 5x2 -…

A: To simplify the polynomial. -6x3+5x2-8x+9+17x3+2x2-4x-13. Simplifying the polynomial.…

Q: After performing polynomial long division, the answer may be checked by multiplying the______by…

A: we know that after performing polynomial long division, the answer may be checked by multiplying the…

Q: Find the quotient and remainder using long division.

A: The given expression is 9x2-x+53x2-7x

Q: In the given equation,, find all zeros of the given polynomial 3x3 + 2x2 - 7x + 2

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Q: Simplify and write the resulting polynomial in standard form and indicate its degree. (-7x3 + 6x2 -…

A: Given: (-7x3 + 6x2 - 11x + 13) + (19x3 - 11x2 + 7x - 17)

Q: Find the quotient and remainder using long division.

A: Given: x3+2x2-x+1x+3

Q: Find the factor of x^2-7x+10

A: We have to find the factor of  x2 - 7x + 10  = x2 - 5x - 2x + 10

Q: Find the degree of the polynomial : x2 - 4x3 + 9x - 12x4 + 63.

A: We have to find the degree of the polynomial: x2-4x3+9x-12x4+63 First of all we need to reorder the…

Q: Find the quotient and remainder using long division.

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Q: Use the Remainder Theorem to find the remainder when x + 9x2 + 4 is divided by x - 1.

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Q: Use Long Division to divide, then completely factor : x -1 3x3 + 4x² + x - 6

A: Our Aim is to divide the given polynomial using Long-Division Method.

Q: Find the quotient and remainder using long division.  x^3+6x+3/ x^2 -2x+2

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Q: Find the quotient of the polynomials using LONG DIVISION. Show your solution. (5x3 + 3x – 8) ÷ ( x…

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Q: . If the remainder dividing the polynomial P(x) = 2x + by x-4 is 114, find the quotient and the…

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Q: Factor completely x2 + 10x + 25 - 9y2 , or state that the polynomial is prime.

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Q: find  the remainder when the polynomial 2x4 -5x3 +12-7 is divided by (x+1)

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Q: Find the remainder when the polynomial 2x* – 5x² + 12x – 7 is divided by (x – 1).

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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.