Polynomials

What is NOT a term used when f(x)=0?

• Roots
• Zeros
• Solutions
• y-intercept

How do you show that (x-2) is a factor of the polynomial 2x³+4x²+6?

• Use Sythetic division and show the remainder is 1
• Use synthetic and show that the remainder is zero
• Multiply the polynomial by (x-2)
• Multiply the polynomial by (x+2)

What can we use to determine the number of imaginary and real roots of the polynomial?

• The degree
• The leading coeffiecient
• The constant
• The third term of the binomial

Imaginary number come in 

• singles
• doubles
• triplets
• quadruplets

What is the rational root theorem give us?

• The solution of the polynomial
• Possible solutions of the polynomial
• The absolute value of the polynomial
• The factored form of the polynomial

What do we use to find our ±p/q

• Rational Root thorem 
• Quadratic formula
• ACB method 
• Synthetic Division

How do we determine if the p/q value is a solution of the polynomial?

• Try them individually with synthetic to find which one gives you a remainder of 0
• Nothing else needed... they are our solutions
• Multiply the p/q value by our given polynomial
• Subtract the polynomial

Graphically, what does even multiplicity look like on a graph? 

• Touches the x-axis only once
• Cuts through the x-axis
• Jumps over the x-axis
• Get close to the x-axis but never touches it

Graphically, what does odd multiplicity look like on a graph? 

• Touches the x-axis only once
• Cuts through the x-axis
• Jumps over the x-axis
• Get close to the x-axis but never touches it

What are the roots and multiplicity of -4x³

• 4 Multiplicity of 3
• 4 Multiplicity of 2
• 0 Multiplicity of 3
• 0 Multiplicity of 4