Writing Polynomials in Factored Form

Write the basic polynomial equation with roots: 0, -3 (mult. 2), 4 (mult. 3).

• $y=x\left(x+3\right)^2\left(x-4\right)^3$

• $y=x\left(x-3\right)^2\left(x+4\right)^3$

• $y=x\left(x+3\right)\left(x-4\right)^{ }$

• $y=\left(x+3\right)^2\left(x-4\right)^3$

Tags

CCSS.HSA.APR.B.3

Write the basic polynomial equation with roots: 5 (mult. 2), 2 (mult. 2).

•  $y=\left(x+5\right)^2\left(x+2\right)^2$ 

•  $y=\left(x-5\right)^2\left(x-2\right)^2$ 

•  $y=\left(x-5\right)\left(x-2\right)$ 

•  $y=\left(x+5\right)\left(x+2\right)$ 

Tags

CCSS.HSA.APR.B.3

Write the basic polynomial equation with roots: 0, -1, -3, -5, 2

•  $y=x\left(x+5\right)^2\left(x+1\right)^3$ 

•  $y=x\left(x-5\right)^2\left(x-3\right)^2$ 

•  $y=x\left(x+1\right)\left(x+3\right)\left(x+5\right)\left(x-2\right)$ 

•  $y=\left(x+1\right)\left(x+3\right)\left(x+5\right)\left(x-2\right)$  

Tags

CCSS.HSA.APR.B.3

Write the basic polynomial equation with roots:  -1, -3i, 3i

•  $y=\left(x+1\right)\left(x+3i\right)\left(x-3i\right)$ 

•  $y=\left(x-1\right)\left(x+3i\right)\left(x-3i\right)$ 

•  $y=\left(x+1\right)\left(x+3i\right)^2$ 

•  $y=\left(x-1\right)\left(x-3i\right)^2$  

Tags

CCSS.HSA.APR.B.3

Consider the polynomial  $\left(3x-1\right)^2\left(x+6\right)^7\left(8x+60\right)^{10}$  
What is the multiplicity of each factor, in order of appearance?

•  $3,\ 1,\ 8$  

•  $-1,\ 6,\ 60$  

•  $2,\ 7,\ 10$  

• None of the above

Write the factored form of the graph.

• x(x-2)(x-4)(x-1)

• (x+2)(x-1)(x-4)

• (x+1)(x+2)(x-1)(x-4)

• x(x+2)(x-1)(x-4)

Tags

CCSS.HSA.APR.B.3

Write the factored form of the graph.

• (x+1)(x+2)(x-1)(x-3)(x+4)

• x(x-2)(x+1)(x+3)(x-4)

• x(x+2)(x-1)(x-3)(x-4)

• (x+2)(x-1)(x-3)(x+4)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.B.2

Which graph has factors of (x+1) and (x-3) ?

• 
• 
• 
• 

Tags

CCSS.HSA.APR.B.3

Which of the following could be the equation of this graph in factored form? (Careful-pay attention to multiplicity.)

• f(x) = (x-4)(x-1)²(x+2)(x+4)
• f(x) = (x-4)(x+1)²(x+2)(x+4)
• f(x) = (x-4)(x-1)²(x-2)(x+4)
• f(x) = (x+4)(x+1)²(x-2)(x-4)

Tags

CCSS.HSA.APR.B.3

If a+bi is a root of a polynomial, then _______ is also a root.

• i²

• a-bi

• a+bi

• -i²

Tags

CCSS.HSN.CN.A.3