4) Find a polynomial of degree 4 that has real coefficients and has 3,2 and 2+i as some of its roots

Q: Find all the real roots of the following polynomial equation. 1.) (3x+2)(x2-25)=0 2.)…

A: As per bartleby guidelines we only give first question answers.

Q: If f(x) is a 4th degree polynomial, and has 3 real numbers as roots, the other root is?

A:

Q: Form a quadratic with real coefficients having amongst its roots -6+i

A: As given in this question, one root is imaginary then other will also be an imaginary roots.

Q: Prove that 3x3+ 5x - 11 has a root between x=1 and x=2. Thanks!

A:

Q: Q3) Write in factor form a 5h degree polynomial whose zeros are +2, -2 and 4 with multiplicity 3

A:

Q: 14) A family of cubic polynomials has roots of -2, -3 and -5. Find the member of this family that…

A: A family of cubic polynomials has roots of -2, -3, and -5. To find the member of this family that…

Q: Find a 6th-degree polynomial with a negative leading coefficient that has roots x= 1- (square root…

A:

Q: Find a fourth-degree polynomial with integer coefficients that has zeros 3i and -1, with -1 a zero…

A: To find a fourth-degree polynomial with integer coefficients that has zeros 3i and -1, with -1 a…

Q: 4. Is it possible for a 6th degree polynomial with real coefficients to have 6 imaginary solutions ?…

A: To explain about the polynomial

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: (4) Find a polynomial that has 1+i and 1- i as zeros.

A: We have to find polynomial

Q: 4. Find ALL additional real zeros of the given polynomial equation given that x = 6 is a zero of the…

A: Factors  Reals roots are x=1,-1,6,2.5,-2.5

Q: Form a polynomial with  the given roots 1+2i, 1-2i , 4 ,2

A:

Q: Find a polynomial of degree 4 with integer coefficients that has -2 as its only real zero and (1/3)i…

A: A polynomial of degree 4 with integer coefficients that has -2 as its only real zero. Which implies…

Q: Which is the cubic polynomial in standard form with roots 3, -6, and 0?

A:

Q: 10) If a, b and c are the roots of the polynomialz + 13r- 23 and sum of the roots is 0, then find…

A: The detailed answer is given below Thank you