Fundamental theorem of algebra

Fundamental theorem of algebra

Multiple Choice

What is the degree of

 $f\left(x\right)=3x^3-2x^2+5x-1$  

• 4

• 3

• -1

• x

Multiple Choice

How many solutions does the equation

 $0=4x^2+2x-1$  have?

• 0

• 1

• 2

• 3

Multiple Choice

How many zeros does the function

 $g\left(x\right)=x^4-8x-2$  have?

• 3

• 1

• 0

• 4

Multiple Choice

how many zeros does the function

 $f\left(x\right)=x\left(x-2\right)\left(x+1\right)$  have?

• 0

• 1

• 2

• 3

Multiple Choice

how many zeros does the function

 $h\left(x\right)=x\left(x+3\right)^2\left(x+5\right)$  have?

• 4

• 2

• 1

• 3

Multiple Choice

How many positive real zeros could the function

 $f\left(x\right)=3x^3-4x^2+2x+1$  have?

• 1

• 2

• 3

• 4

Multiple Choice

How many negative real zeros could the function

 $f\left(x\right)=x^3-x^2+5x-6$  have?

• 0

• 1

• 2

• 3

Multiple Choice

How many positive real zeros could the function have?

 $g\left(x\right)=-3x^4+6x^2+2x-5$  

• 1

• 2

• 3

• 4

Multiple Choice

f is a polynomial with real coefficients and

 $2-i$  is a zero of f, what is another solution of f(x)?

• -2 - i

• -2 + i

• 2 + i

• 2 - i

Multiple Choice

g is a polynomial function with real coefficients and

 $-2i$  is a zero of g. What is another zero?

• 1-2i

• 1+2i

• 2i

• -2i

Multiple Choice

f is a polynomial function with real coefficients. If

 $2-\sqrt{5}i$  is a zero of f, what is another zero of f?

•  $2+\sqrt{5}i$  

•  $2-\sqrt{5}i$  

•  $-2-\sqrt{5}i$  

•  $-2+\sqrt{5}i$