Given a polynomial that has zeros of −1, 2i, and −2i and has a value of 100 when x=1 Write the polynomial in standard form axn+bxn−1+…. Answer using reduced fractions when necessary.

Q: For a polynomial P(x), if P 0, then which of the following must be a factor of P(x)? %3D a) 5x +3 b)…

A: If a is zero of polynomial P(x)   i.e. P(a) = 0 then (x-a) is factor of polynomial.

Q: Given a polynomial that has zeros of -4, 5i, and -5i and has a value of 2142 whenx = 3. Write the…

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Q: Find a, b, c E R such that the polynomial f(x) = x³ + ax? + bx + c is divisible by g1(x) = x + 2 and…

A: The remainder theorem says that when a polynomial px is divided by x-a. The remainder is obtained as…

Q: Given the polynomial: 2x− 5x4+ 7x2 -3x3 -6 Evaluate the polynomial for x = 4

A: We have to evaluate the polynomial P(x)=2x-5x4+7x2-3x3-6 for x = 4.

Q: P(x) = axa-3 + b² xa+b+5+ c²xc-b+2 - dxc+d

A: Polynomial function: A polynomial function is an expression made up of one or more terms with…

Q: Suppose that a polynomial equation has the following six roots: -7, -2, 1 + iv2, 1 - iv2, 2, and 7.…

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Q: Given a polynomial that has zeros of -8, 4i, and -4i and has a value of 765 when x = 1. Write the…

A: Given the roots of the polynomial.

Q: Given the polynomial P( x) =x"- 7x+ 18x - 18 a. Without long division, find the remainder if P is…

A: Px=x4-2x3-7x2+18x-18Px=x3x+1-3x2x+1-4xx+1+22x+1-18-22Px=x+1x3-3x2-4x+22-40The remainder is -40…

Q: If a and B are zeros of polynomial p(x) =x² – 5x +6, then find the value of a + B - 3aß.

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Q: Find the zeroes of the polynomials f(x) = x3 -12x2+39x, if it is given that the zeroes are in AP

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Q: The number of zeros of the polynomial x? + 2x +3 in Z, is: 1 None 4.

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Q: Find a, b, c E R such that the polynomial f(x) = x³ + ax? + bx + c is divisible by g1 (x) = x + 2…

A: The given question is related with polynomials. Given that,                  fx = x3 + ax2 + bx + c…

Q: Find the factors of the following polynomials with complete solution using synthetic division. 1.…

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Q: If the polynomial function P(x) = x4 - 5x3 - 9x2 + 155x - 250 has zeros of 4 + 3i and 2, find the…

A: If the polynomial function P(x) = x4 - 5x3 - 9x2 + 155x - 250 has zeros of 4 + 3i and 2, find the…

Q: Find all the zeros of the polynomial: f(x) = a ³ + 4x? – 41x + 36 .if (x – 4) is a factor of this…

A: Given,  fx = x3+4x2-41x+36   x-4  is a factor of this polynomial  We have to find the all the zeros…

Q: Consider polynomial P(x) = x³ +x² – 10x – 10. 1. Is x+1 one of the factors of P? Explain.

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Q: Which of the following is one of the factors of the polynomial 15x-x-2? A x-2 5x-2 с 5x+1 D 3x-1 O a…

A: To determine the factor of the polynomial.

Q: The number of zeros of the polynomial x? + 4x +1 in z, is: 4 None 1

A: solution of the given problem is below...

Q: for which value of b is the following polynomial  factorable over the set of integers? x2 +bx-60

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Q: Use synthetic division to find (9x + 26x² + 21x - 33) (x + 2). Write your answer in the form q(x) +…

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Q: Consider polynomial P(x) = x³ + x² – 10x – 10. 1. Is x + 1 one of the factors of P? Explain.

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

A: The solution of the problem is given in the next step.

Q: Find the zeroes of a polynomial f(x) =x2-12x2+39x-28 ,If it is given that zeroes are in AP

A: Solution: The objective is to find the zeroes of the given polynomial

Q: Let f(x) = x' + 2x + 4and g(x)= 3x + 2 in Z,[»). Then, upon dividing f(x) by g(x), we get 7- The…

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Q: Give a polynomial that has zeros of 13, 5i, and −5i, and has a value of −680 when x=3. Write the…

A: To determine the polynomial in standard form.

Q: consider the polynomial equation P(x)=x^5 + 3x^4-25x^3-79x^2+100=0. Use synthetic division to…

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Q: Given the polynomial P(x)=x^4-2x^3-7x^2+18x-18 a.Without long division, find the remainder if P I'd…

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Q: Given a polynomial that has zeroes of -9,2i,and -2i and has a value of 880 when x = 2. Write the…

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Q: What is the degree of the following polynomial? x2 + 3 - x + x

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Q: For the polynomial below, -3 is a zero. h(x) =x' + 9x + 24x + 18 %3D Express h (x) as a product of…

A: Given that the polynomial is hx=x3+9x2+24x+18 and -3 is a zero of the given polynomial. We have to…

Q: Given that 3 is a zero of the polynomial P(x) = 2x+ – 17x3 +52x² – 64x + 21, find the other real and…

A: NOTE: Refresh your page if you can't see any equations. . take P(x)=0 the given zero is x=3,  now…

Q: Find a, beR such that the polynomial f(x) = 6x4 – 7x3 + ax? + 3x + 2 is divisible by g(x) = x2 – x +…

A: When a polynomial is divisible by another polynomial, there is a quotient polynomial. The leading…

Q: If a,ß the zeroes of the polynomial 2y + 7y + 5, Find the value of a+ß+aß

A: For finding zeroes I used factor method for quadratic equation I completely solved in the 2nd step…

Q: If a and B are the zeros of the polynomials f(x)=x -5x + * such that a-8 = 1,Find the value of k.

A: Solution: The objective is to find the value of k

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: Suppose that a polynomial equation has the following six roots: -4, -2, 1 + iv2, 1 - iv2, 2, and 4.…

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Q: Find all the zeros, real and nonreal, of the polynomial and use that information to express p(x) as…

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Q: Given p(x) = 29x13 + 9x11 - 8x9 + 25x2 + 3x - 97 is a polynomial of degree n what is  an-1

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Q: Given the polynomial P(x) =x- 2r- 7x2+ 18x – 18 a. Without long division, find the remainder if P is…

A: We are given the polynomial  P(x)=x4-2x3-7x2+18x-18. For (a), As per the question, we will not be…

Q: Use synthetic division to divide the polynomial by the lincar factor. (3x +11x+6) (x + 3) Indicate…

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Q: Given the polynomial P(x) =x+- 2x³ – 7x²+ 18x – 18 a. Without long division, find the remainder if…

A: a)  Without long division, find the remainder if P is divided by x+1 Here use remainder theorem…

Q: If 1 is  a zero of the polynomial  p(x) = ax2 - 3 (a - 1 )x - 1 , then Find the value of a

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Q: Use synthetic division to find (x'+ 8x + 14x + 31) (x+ 3). Write your answer In the form q(x) +…

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Q: Consider the polynomial – 4x° + 5xª – 15x³ – 9x + 24 . - - What is the degree of the polynomial?…

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Q: 7x²+

A: We will use synthetic division:

Q: Consider the polynomial P(x) = 2x4 – 3x3 – 4x² + 14x – 12. | Write P(x) as a product of linear…

A: Polynomial problem

Q: If a ,ß are the zeroes of the polynomial 2y + 7y + 5, find the value of a + ß+ aß

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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.