For the following polynomial P(x) = ax4 + bx3 + cx2 + 3x − 8 , it has a constant finite difference of -48, a remainder of -22 when divided by x + 1, and a remainder of -170 when divided by x − 3. Determine the values of a, b, and c

Q: 47. For what value of k will the polynomial function f(x)=x²+6x² +kx -4 have the same remainder when…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

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A: Here it is given that Polynomial  crosses the x-axis at - 2  touchesthe x-axis at 1, and is above…

Q: Find the zeros of the polynomial f(x) = 4/3x +5x-23, and verify the relationship between the zeros…

A: we have givenf(x) =43x2 +5x-23for finding zeros of this polynomial f(x) =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: Consider two polynomials P (x)=4x-5 and Q(x)=3x2+7x-2 (a.) P(x) times Q(x)= (b.) P(-5)+Q(-3)=…

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Q: If sum of the squares zeroes of the quadratic polynomial f(x) =x2-8x+k is 40.Find k

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Q: Show that x−6 is a factor of the polynomial p(x)=(1/3)x^3 − (15/2)x^2 + 56x − 138. How many real…

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Q: 1. When the polynomial f(x)= px' +5x +qx-2 where p and q are constants is divided by 2x +3x-2 the…

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Q: Find the LCM of the given polynomial. x2 - 4,   x2 - x - 2

A: we have to find the LCM of the given Polynomial  f(x)=x2-4p(x)=x2-x-2

Q: for the following polynomial: 5x4+4x3-15x2-2x-8=0 give all possible rational roots, and factor the…

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Q: Determine whether the first polynomial can be expressed as a linear combination of other two…

A: The given polynomials are  2x^3 − 2x^2 + 12x − 6, x^3 − 2x^2 − 5x − 3, 3x^3 − 5x^2 −4x − 9

Q: Find the value of c that will cause the polynomial f(x) = x2 + 3x + c to have 3 as

A: f(x)=x2+3x+c

Q: Which of the following polynomials has a remainder of 1 when divided by x + 2, x + 3 and x + 5? x³ +…

A: We have to find the polynomial

Q: ) pesos, Aira has A(x) pesos and Jude has D(x)/A(x) pesos, where D(x) = x3 - 7x2 +14x - 8 and A(x) =…

A: Introduction: A polynomial function is one that involves solely non-negative whole number powers or…

Q: The graph of a quartic polynomial f(x) with integer zeros is shown to the right. Write the complete…

A: F(x) = (x + 1)²( x - 3)²

Q: The number of zeros of the polynomial x +3x+2 in z, is: None 4

A: The given polynomial is a 2 degree polynomial  Because the highest power is x is 2  So the zeroes of…

Q: 2. Determine if the second polynomial is a factor of the first polynomial. f(x) = 2x' -11x² – 22x+7;…

A: (x-7) will be a factor of f(x) if on dividing f(x) by g(x) ,we get the remainder zero.

Q: Express as a polynomial. (r 2 + 8r - 2-)(r 2 + 3r - 1)

A: Given expression:                         (r2+8r-2)(r2+3r-1)

Q: one of the zero of the quadratic polynomial f(x)=4x2-8kx-9 is negative of the other , then find the…

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Q: When a polynomial x4+x3-10x2-1 is divided by another polynomial, the quotient is x3-3x2+2x-8 and the…

A: See the details solution below

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 m will the polynomial f (x)=x3+2x2+mx+5 have the same remainder when it is divided…

A: The remainder theorem states that: if a polynomial, p(x) is divided by x-b, then the remainder is…

Q: For the remainder of the division of x-2x²+3kx+18 by x-6 to be equal to zero, k must be equal to?

A:

Q: Find the zeros of the polynomial f (x)=x3-5x2-16x+80  ,if it's two zeros are equals tin magnitude…

A: The no. of roots of a polynomial is depend on the degree of polynomial Since, degree of this…

Q: 5) If the leading term of a polynomial is -2x18, what do you know about the end behavior? As x → 0…

A: We will find the end behavior of the polynomial when Leading term is given.

Q: For the polynomial f (x) = x³ – 2a² – 5æ + 6 what is the end behavior as x x → ±∞ - O x → 0 → +∞ 8.…

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Q: What is the coefficient of x^7 in the polynomial (1+x+2x^2)^12

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Q: Answer the questions about the following polynomial. 1 + x? – x – 10+ 3x³ - - The expression…

A: NOTE: Refresh your page if you can't see any equations. . write the polynomial in the standard form…

Q: Find the zeros of the polynomials f (x)=x'-5x² – 2x + 24, If it is given that the product of its two…

A: *to find:- roots of the given equation.

Q: If a polynomial f(x) has a remainder of -9 when divided by a 3, what is f(3)?

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Q: What is the leading coefficient of a third degree polynomial function that has an output of 1272…

A: Given zeros of the third-degree polynomial, -6, 7i, and -7i

Q: When a polynomial, P(x), is divided by 2x - 1, the quotient is x2 - 8x + 3 and the remainder is -12…

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Q: For the following factored polynomial, find all of the zeros and their multiplicities.…

A: Given,

Q: Findthe zeros of the polynomial f(x) = x -12x +39x-28, If it is given

A: Explanation and solutions is given below....

Q: Which of the following polynomial expressions factors into 3x(x + 5)(x + 2)? O 3x° - 21x2 – 30x O…

A: Given, Simplify 3xx+5x+2

Q: For the polynomial below,  −3  is a zero. hx=x3 + 5x2 + 4x - 6 Express  hx  as a product of…

A: Given: -3 is a zero of h(x)=x3+5x2+4x-6. Express h(x) as a product of linear factors as follows.

Q: For the polynomial below, 1 is a zero. h(x) =x- 7x + 10x- 4 x=(x)4 Express h (x) as a product of…

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Q: If sum of the squares  zeroes of the quadratic polynomial         f(x)=x2-8x+k is 40 . Find k

A:

Q: #7: For what value of k will the polynomial function f(x)=x'+6x² +kx=4 have the same remainder when…

A: The Polynomial Remainder theorem states that if x-b divides the polynomial, Qx, then the remainder…

Q: What is the end behavior for the given polynomial: F(x)=-7x^4+4-7x+x^2-x^

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Q: The brochure for the coaster says that, for the first 10 seconds of the ride, the height of the…

A: Given: Height of the coaster is defined by h(t) = 0.3t3-5t2+21t  Where t= time in seconds

Q: What is the degree of the polynomial 9 - 3x + 4y - x2? O 1 O 2 3. O 4

A: Degree is heightest power of polynomial.

Q: If a polynomial f(x) when divided by (x - a) gives a remainder r₁, and when divided by (x - b) gives…

A: Given that fx is divided by x-a, we get remainder r1, so there exist a polynomial qx such that…

Q: For the polynomial below, 3 is a zero. h(x) = x° - 5x2 + 4x + 6 Express h (x) as a product of linear…

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Q: if the sum of the zeroes of the polynomial f(x) = 2x³ – 3kx² + 4x - 5 is 6, then the value of k is

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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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Q: 2. Add one term to the polynomial expression 14x19 9x15 +11x* + 5x² + 3 to make it into a + 11x+ 5x?…

A: Consider the polynomial  14x19-9x15+11x4+5x2+3