Roots and Fundamental Theorem of Algebra

Which formula is the Fundamental Theorem of Algebra Formula?

• There are infinitely many rationals between two reals.
• Every polynomial equation having complex coefficents and degree greater than the number 1 has at least one complex root.
• There are infinitely many prime numbers.
• All numbers are rational numbers.

Tags

CCSS.HSN.CN.C.9

The largest exponent determines the degree of the polynomial.

• True
• False

The degree of the polynomial determines the number of roots.

• True
• False

Tags

CCSS.HSN.CN.C.9

-3x²+x+4=0
How many roots does this equation have?

• 2
• 1
• 0
• 4

Tags

CCSS.HSA-REI.B.4B

• This equation has 2 roots.
• This equation has 4 roots.
• This equation has 5 roots.
• This equation has no roots.

• This graph has one imaginary root.
• This graph has one real root.
• This graph has two imaginary roots.
• This graph has two imaginary roots.

• This graph has two imaginary roots.
• This graph has two real roots.
• This graph has one imaginary root.
• This graph has one real root.

• This graph has two real roots.
• This graph has one real root.
• This graph has one imaginary root.
• This graph has two imaginary roots.

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

• This graph has two imaginary roots because it is a polynomial of degree two.
• This graph has two imaginary roots because it has one hump.
• This graph has two imaginary roots because it touches the x-axis at two points.
• This graph is imaginary because it the graph has shifted up.

All imaginary roots comes in pairs.

• True
• False

Tags

CCSS.HSN.CN.C.9