Find the complete quotient when P(x) is divided by the binomial following it. P(x) = 2x4-x3-15x2 + 3x; x +3 %3D

Q: Find the domain of x/6x+25

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Q: Use the binomial theorem to expand and simplify.(x2 + 2y)3

A: To expand and simplify the given equation using binomial theorem

Q: 6. a. P(x)= 6x - 7x –12x +3x+2 a zero of P(x)= 6x* - 7x -12x + 3x+2? Show why or why not.

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

Q: The leading term of ?(?)=x2+4x3+1 is 4x3. How can you say that 4x3 is the leading term?

A: Given, f(x)=x2+4x3+1

Q: The binomial X+4 is a factor of which polynomial? O A.x2 +2x-24 о В. х3—10х? +33х - 36 OCX3- 2x?…

A: To find that x+4 is factor of which polynomial

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

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Q: Add the proper constant to the binomial so that the resulting trinomial is a perfect square…

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Q: Use Factoring by Grouping for x² X--ax + cX - ac

A: We have to use factoring by grouping for the given expression  x2 - ax + cx - ac Clearly there is no…

Q: Find the value of k so that x-2 is a factor of P(x) = 2x3 – x2 + kx + 2

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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: V. (a) Find the product of: 1. (x+2)(x + 2) 2. (2x – 1)(2x - 1) (b) Make a general rule about…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find the zero of P(x) = 9x + 14.

A: The given function is Px=9x+14.

Q: Use the Binomial Theorem to expand the expression (x2 + x-3)4 and write the result in simplified…

A: To Use the Binomial Theorem to expand the expression                                         (x2 +…

Q: Multiply the binomial (9x2-7y2) (x2-4y2)

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Q: Use the binomial theorem to expand and simplify the expression.(2x + y3)4

A: Simplify the expression: 2x+y34.   Apply Binomial theorem: a+bn=∑r=0nCrnan−rbr. Therefore,…

Q: Use the remainder theorem to determine if the given binomial is a factor of the polynomial. Justify…

A: By using the remainder theorem determine the given binomial is a factor of the polynomial  given…

Q: Multiply using the rule for the square of a binomial. (x-10)2 (x-10) = x² - 20x+ 100

A: Given expression is (x-10)2

Q: Find the value of p for which x²– 4x2+ px-8 is exactly divisible by x- 4.

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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: a) Determine the value(s) of k so that the binomial is a factor of the polynomial. x² – 6x – 7, x+ k

A: a) Given

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: a. The fifth term in the expansion of (3x³ – 2)8. b. The constant term in the expansion of (3r² - ).…

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Q: Find the value of k such that x-3 is a factor of x^3-kx^2+2kx-12.

A: Given that, x - 3 =0 And x3 -kx2 + 2kx -12 = 0

Q: 5. (3x + x + 3x - 6) + (3x + 5) 6. (4x' + 3x - 3x - 5) + (4x-7)

A: Solve the above questions.

Q: 1 For an unknown polynomial function p(x), p(4)+2=2. Which binomial is a factor of p(x)? A. x-2 B.…

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Q: determine wether the binomial is a factor of f(x).  f(x) = 2x3-13x2-38x+112; x+2

A: The given function and binomial are

Q: 2)a factor of 2x*-3x³ + 4x² + x+

A: SOLUTION-

Q: Which of the following binomial is a factor of x^3 -7x + 5? * a. x - 1 b. x + 1 c. x + 2 d. none

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Q: Show how to determine whether the binomial is a factor of the polynomial. 1. f(x) = 3x4 + 6x3 – x2 -…

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Q: or binomials does p(x<2)=p(x<=2)

A: X~Binomial(n , p)  __________________________ P(X = x) = nxpx(1-p)n-x ; x = 0,1,2,..,n

Q: The binomial X+ 4 is a factor of which polynomial? O A. x2 + 2x- 24 O B. x3 –10x? +33x-36 OCX3- 2x?…

A: The binomial x+4 is a factor of a polynomial if P-4=0 Option A: x2+2x-24…

Q: Findeach quatient when Pox) is diVided by the Specified binomial. 31.) P)=x5-1; X-1

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Q: could you help please help with these questions. Thank you

A: Given function Simplify the function

Q: Using the Factor Theorem, determine whether the given binomial of the form x - c is a factor of the…

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Q: Determine the coefficient of x³ in the development of (x + 1) ¹² 12

A: Solve the following

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

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Q: Find the coefficient of æ33 of the binomial (x3 + x*)10.

A: Given: x3+x410

Q: The binomial X+4 is a factor of which polynomial? O A. x² +2x-24 О В x3 —10х2 + 33х- 36 ОС х3…

A: Degree of polynomial is the highest power that the polynomial has. Leading coefficient is the…

Q: Use long division to determine whether the binomial is a factor of f(x). f(x) = x^2 - 13x^2 + 48x -…

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Q: use long division to determine whether the binomial is a factor of f(x). f(x)=2x3-13x2-38x+112;  x+2

A: Firat try to get rid of 2x^3.

Q: Find the quotient when P(x) is divided by the binomial following it. P(x) =x³ + 3x² – 54; x – 3 +…

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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: remainder

A: We have to find the following conditions according to the given information

Q: x² +8x +12 x² +x-2 . Find the quotient for x* +3x -18/x² - 2x-3

A: We can write the given expression as: x2+x-2x2-2x-3x2+8x+12x2+3x-18=x2+x-2x2-2x-3×x2+3x-18x2+8x+12

Q: Determine if the given binomial is a factor of the polynomial, yes or no P(x) = x 3 + 11x - 20 by x…

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Q: Use the factor theorem to determine if the given binomial is a factor of f(x). 22) 22) fx)+ 8x3…

A: To decide if the given binomial divides the polynomial f(x), using the factor theorem

Q: Find the middle term in the expansion of (3x + x/3)10.

A: Given power is 10. So the number of terms= 10+1=11   This means the 11+12=6th term will be the…

Q: 3x4-5x3-20x-5 Find the quotient and remainder of: | x2+x+3 Q (x) = R(x) =

A: 3x4-5x2-20x-5x2+x+3

Q: Find the value of k so that when the given polynomial is divided by the given binomial, gives the…

A: Given: p(x)=x3-8x2+3x+k ,     x+2 ,      r=-4

Q: f(x)=2x4 - x3 - 3x2 + 7x - 12   p(x)=x2 - 3 "Find the quotient and remainder of f(x)/p(x)"

A: From the given information