Understanding zeroes and factors of polynomials

Given the function:
 $f\left(x\right)=x^3-49x$  
what is the potential number of zeros?

• 1

• 3

• 49

• 2

How many solutions does the polynomial  $x^4+3x^3-5x^2-2x+9$  have in the set of complex numbers?

• 10

• 9

• 4

• 1

Given a polynomial of degree 4, Out of the 4 solutions for this polynomial can there be 3 imaginary solutions?

• Yes

• No

• Depends on the leading coefficient

Find the zeros of the function:

f(x) = x³ - 4x² - 4x + 16

• x=-4, -2

• x=4, -2, 2

• x= -4, -2, 2

• x= 4, 2

• 4, -7, 3

• -4, -7, -3

• 4, -7, -3

• -4, -9, -3

Find all rational zeros, one zero has been given. f(x) = x³-5x²-2x+24;   x = -2 is one root

• -2,1,0

• -2,-3,-4

• 4,3,-2

• 0,0,0

is 2 and -2 zeros of p(x)=x+2

• yes,no

• no,yes

• no,no

• yes,yes

What are the zeros for this function?

• 
• 
• 
• 

The zeroes of $6x^2-3-7x$  are

•  $-\frac{3}{2}\ ,\ -\frac{1}{3}$  

•  $-\frac{3}{2}\ ,\ \frac{1}{3}$  

• None

•  $-\frac{1}{3\ }\ ,\ \frac{3}{2}$