Create a polynomial with root of 1+√2 of multiplicity 2.

Q: 12) List the potential rational zeros of the polynomial function. Do not find the zeros. f (x) =…

A: Since given function is f(x) = -3x2-2x+8 Constant term =8 leading coefficient(coefficient of x2) =-3…

Q: Given that 4 is a zero of the polynomial function f(x), find the remaining zeros. f(x) =x 6x+ +25x…

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Q: Let f(x) be a polynomial with real coefficients. The polynomial f(x) leaves the remainder 2x +1 when…

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Q: 1 f(x) = 3x³ − x² + 27x − 9, - -

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Q: Find the polynomial function with real coefficients having the given degree and zeros (use lead…

A: Explanation of the answer is as follows

Q: f (x) = 6x6 + 13x5 + 3x4 − 2x3 − 30x2 − 56x − 24. (a) Use the Rational Zeros/Roots Test to list all…

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Q: A) Find the rational zeros of the function f(X)=x^4-6x^3+9x^2+6x-10. Then, factor f(x) into linear…

A: (A) Take x=1 and substitute it in the function.

Q: Solve the problem. Use synthetic division to divide f(x)=x3 + 12x2 +41x+30 by x+5. Use the result to…

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Q: Given the polynomial: f (x) = 2x° + mx* – 40x° + nx² + 218x – 168 And that two of the roots are x= 1…

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Q: Write a fifth-degree polynomial in factored form that approaches positive infinity as x approaches…

A: Please refer the attached image for complete solution. THANK YOU.

Q: Given f(x)=x^4-2x^3+28x^2-4x+52, and that 1+5i is a zero of f(x). Find all the zeros.

A: Given f(x)=x^4-2x^3+28x^2-4x+52, and that 1+5i is a zero of f(x).Find all the zeros.

Q: you have a polynomial of degree 3, P(x), where P(2)=0. Describe how you will find the other zeros of…

A: We have to find other zeroes of P(x) :