Understanding zeroes and factors of polynomials

Find the rational zeros of the equation 2x⁴ - x³ - 21x² + 9x + 27 = 0.

• 3, -3, -1, 3/2

• 3, 1, -1, 3/2

• 3, -3, -1, 2/3

• 3, 1, -1, 2/3

• 1, -3, 4

• 1, 2, -6

• -1, 3, -4

• -1, 2, 6

Find all zeros for the polynomial

Encuentra todos los ceros para el polinomio

f(x) = x⁴+8x²-9

• -1, ⅓, ±3i

• ½, -1, ±3i

• 1, -1, ±i√11

• 1, -1, ±3i

Without solving the equation $9x\ -\ 5\ =\ 3x^2$  give the sum and product of the roots.

• sum = 3, product =  $\frac{5}{3}$  

• sum = -3, product =  $\frac{5}{3}$  

• sum = -3 , product =  $\frac{-5}{3}$  

• sum = 3, product =  $\frac{-5}{3}$  

Find all the roots of y=x³-2x²+4x-8

• -2, 2i, -2i

• 2, 2i, -2i

• 2,-2, 2i

• 1, 2i, 4

• -2, 2i, -2i

 $\left(x+3\right)\left(x-2\right)\left(x+9\right)=0$  How many solutions will this equation have ?

• 1

• 2

• 3

• 4

Find the zeroes of the polynomial 4x^2 - 12x + 9.

• -3/2

• 2/3

• 1/2

• 3/2

Identify the number of roots:
x³+4x²-11x-30

• 1
• 2
• 3
• 4