Find the value of k so that when the given polynomial is divided by the given binomial, gives the remainder. p(x)=x3-8x2+3x+k; (x+2); r=-4

Q: The polynomial 3x4 - 2x3 + 13x2 - 5 is of degree . The leading coefficient is _______ .

A: The degree of the polynomial is the highest power appearing for the variable presented in the…

Q: factor when possible. if a polynomial is prime say so x2-8x+12 =

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Q: Use the Remainder Theorem to find the remainder that occurs when P(x) = 3x4 + 5x3 − 2x2 − 4x + 9 is…

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Q: find the degree of the polynomial. 5xy3 + 2x2y2 - 3x3y2

A: The degree of a polynomial is equal to the highest degree of any individual term within the…

Q: Given the polynomial :x6y³ - 2x²y² + 1 1. What is the degree of the first term? 2. What is the…

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Q: Is the given binomial a factor of the given polynomial? If so, write the polynomial as a product of…

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Q: Find the remainder when the first polynomial is divided by the second polynomial.   x3 – 5x2 + 17x…

A: (1) Remainder theorem states that if a polynomial px is divided by x-a then remainder is pa. Given…

Q: If x+2a is a factor of x5-4a2x3+2x+2a+3  find a

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Q: Find the quotient and remainder when the first polynomial is divided by the second.   x2+5x+25, x-4…

A: Here we find the quotient and remainder when the first polynomial isdivided by the second…

Q: Consider the polynomial P (x)=kx' - 5x +3x + 2. Find the value of k such that the remainder is 4…

A: The polynomial is given by Px = kx3-5x2+3x+2 The remainder obtained after dividing the polynomial Px…

Q: II. Use the Remainder Theorem to find the remainder when each polynomial is divided by the…

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Q: The binomial x - 2 is a factor of 2x3 - 5x2 - x + 6. What are the other factors of the polynomial?…

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Q: Find the quotient and the remainder when the first polynomial is divided by the second. (a). x3 +…

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Q: Determine if the binomial x+4 is a factor of the polynomial p(x)=8x4+32x3+x+4.

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Q: What I Know Use the Remainder Theorem to find the remainder when each polynomial is livided by the…

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Q: The value of the polynomial 5x - 4x2+3 , when x = -1

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Q: If x+2a is a factor of x5-4a2x3+2x+2a+3  Find a

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Q: Find the value of k for which the first polynomial is a factor of the second polynomial. x-5,-x +2x…

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Q: The binomial x-2 is a factor of 2r-5x-x+6. What are the other factors of the polynomial? (x+ 1)(x +…

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Q: Find the remainder when x40 - 3 is divided by x + 1. X Find the remainder when x03 – 17 is divided…

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Q: P(x) = 3x^5 – 4x^3 + 2x² + 3x – 6 What is the remainder when the above polynomial is divided by…

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

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Q: Find the remainder when dividing the polynomial x^3-4x^2-7x+2 by x-5

A: detailed solution is given below

Q: Determine the degree of the polynomial P(x) and arrange the terms in decreasing order. 4x3 - 3 +…

A: Polynomial and its Degree.

Q: 1. [K2] Without dividing, determine the remainder when P(x) = 10x3 – 9x2 – 8x + 11 is divided by 5x…

A: We use remainder theorem for calculating the remainder.

Q: P(X)=3X^5+4X^3+2X^2+3X-6 How many zeros does the above polynomial have?

A: From the given problem:   Px=3x5+4x3+2x2+3x-6   Now differentiate the given function with respect to…

Q: 9. Find values of the 800k of polynomial 1- 42+9x +b b. -9 and if 3-42²+9x +6. a and ane

A: Given the polynomial  x3−4x2+ax+b

Q: The polynomial p(x) = 6x4 - ax3 - bx2 + 28x + 12 where a and b are constant, has factors (x+2) and…

A: The given polynomial is p(x)=6x4-ax3-bx2+28x+12 since x+2 is the factor so x=-2 will make the…

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: p(x)= 3^5-4^3+2x^2+3x-6 How many zeros does the above polynomial have?

A: Given: p(x)= 35 -43 +2x2 +3x-6 To find out: number of zeros=?

Q: When the polynomial P(x), where P(x) = ax² + 5x² + 2x, is divided by x - 1 the remainder is 4. The…

A: Given: P(x) = ax3 + 5x2 + 2x when divided by x-1 gives remainder 4       To determine: The value of…

Q: The leading coefficient of the polynomial + 4x^12 + 4x^6 + x^4 – x is * 10 12 4

A: 1. Given polynomial is 5x10 + 4x12 + 4x6 + x4 - x As the leading coefficient of the polynomial is…

Q: x3 – 5x2 + 17x -12; x + 5

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: Show that the binomial is a factor of the polynomial. Then factor the polynomial completely. g(x) =…

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Q: P(x) = 3x – 4x3 + 2x² + 3x - 6 How many zeros does the above polynomial have?

A: We have to find zeros

Q: If a polynomial p(x) is divided with a polynomial (x + 3) using long division and the quotient is…

A: Let the remainder is Zero Given pxx+3=2x2-x+1 px=x+32x2-x+1=2x3-x2+x+6x2-3x+3        =2x3+5x2-2x+3

Q: If we divide the polynomial P by the factor x - c and we obtain the equation P(x) = (x – c)Q(x) +…

A: we know that if we divide the polynomial px by the factor x-c and we obtain the equation…

Q: Find the remainder when f(x) = 2x5 – 8x3 +3 is divided by 3x + 2. -

A: Long Division of Polynomials: A long division polynomial is an algorithm for dividing polynomial by…

Q: Use synthetic division to find the value of ( x- 2) for                 P (x )  =  x4 -4x2  + 2x - 4

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Q: Find k such that the remainder of the division 6 – x² – 14.r + k: 3x – 2 is -2. Your solution should…

A: 3x-22x2+x-46x3-x2-14x+k-6x3+4x23x2-14x+k-3x2+2x-12x+k12x-8k-8 So the quotient is = 2x2+x-4 And…

Q: A) Determine if the given binomial is a factor of the polynomial Px. If so, factor completely. Show…

A: P(x)=2x3+17x2+23x-45,divide by  (x+6)…

Q: 10.Determine if the given binomial is a factor of the polynomial, yes or no P(x) = x 3 +8x² +11x -…

A: Consider a polynomial p(x). If, At x=a, value of p(x) =0, then (x-a) is a factor of polynomial p(x).

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

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Q: The binomials (x- 2) and (2x +3) are the factors of which polynomial?

A: We have to find the polynomial which the binomials (x - 2) and (2x + 3) are the factors . Then ,…

Q: Give the vale of the remainder when p(x)=x3-4x+12 is divided by x+3.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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

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