# Zeros - Page 2

Questions

- How do you find all the zeros of #f(x)= 2x^3 + 3x^2+ 8x- 5#?
- How do you find all zeros of #f(t)=t^3-4t^2+4t#?
- How do you find all the zeros of #f(x)=4x(x-4)(x+12)(x-1/2)#?
- If #f(x) = x^5+px+q# (Bring Jerrard normal form) with #p, q# integers, then what are the possible natures of the zeros?
- How do you find the zero of #f(x)=5x-8#?
- How do you find all rational roots for #x^4 - 2x^3 - 8x^2 + 10x + 15 = 0#?
- How do you write a polynomial function of minimum degree with real coefficients whose zeros include those listed: 5i and √5?
- How do you find the zeroes of #p(x)= x^4-4x^3-x^2+16x-12#?
- How do you write a polynomial function of least degree and leading coefficient 1 when the zeros are 3, -3, 1?
- How do you use the rational roots theorem to find all possible zeros of #f(x)=x^4-x-4#?
- How do you create a polynomial with Degree 3, 2 Positive real zeros, 1 negative real zero, 0 complex zeros?
- How do you find a degree 3 polynomial function having zeros -7, 1, and -6, with a leading coefficient of 5?
- What are the zeros of #f(x)= −4x^5 + 3#?
- Find a polynomial that has a leading coefficient of 4 and has the given degree and zeros. Degree 3 with 2,1/2, and 3/2 as zeros?
- How do you find the complex roots of #x^4-10x^2+9=0#?
- How do you find a polynomial function that has zeros 4, -3, 3, 0?
- What are all the zeroes of #g(x) = 3x^3 + 2x^2 - 7x - 6#?
- If one of the roots of #x^3-3x+1=0# is given by the rational (companion) matrix #((0,0,-1),(1,0,3),(0,1,0))#, then what rational(?) matrices represent the other two roots?
- How do you find all the zeros of #4x^3-4x^2-9x+9# with 1 as a zero?
- How do you find a quadratic polynomial with integer coefficients which has #x=3/5+-sqrt29/5# as its real zeros?