(NTI25) Building Polynomials from Zeros

What is the equation in factored form of this graph?

• 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

Write the simplest polynomial in standard form given the following zeros. x = -2, 1, 4

• $f(x)=(x+2)(x-1)(x-4)$

• $f(x)=x^3-3x^2-6x+8$

• $f(x)=x^3+8$

• $f(x)=x^3-3x^2+8$

Tags

CCSS.HSA.APR.B.3

Which of the following would be the correct factored form with roots 2, 5i, and 6?

• (x-6)(x-2)(x+5i)(x-5i)

• (x+6)(x+2)(x+5i)

• (x-6)(x-2)(x-5i)

• (x+6)(x+2)(x-5i)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Write a polynomial function of least degree with integral coefficients that has the given zeros.

• A
• B
• C
• D

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Write the function rule for the given graph.

• f(x)= (x-1)(x-5)

• f(x)= (x+1)(x+5)

• f(x)= -(x-1)(x-5)

• f(x)= -(x+1)(x+5)

Write the equation of the graph in factored form.

• (x-4)(x+3)=0

• -(x+3)(x-4)=0

• (x+4)(x-3)=0

• -(x-3)(x+4)=0

Tags

CCSS.HSF-IF.C.7A

Write the factored form of the graph. Select all possible answers.

• (x+4)(x+7) = 0

• -(x+4)(x+7) = 0

• (x-7)(x-4) = 0

• -(x-7)(x-4) = 0

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

• 
• 
• 
• 

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Write a polynomial function of least degree with integral coefficients that has the given zeros.

• A
• B
• C
• D

Tags

CCSS.HSA.APR.B.3

Write the equation of a quadratic that has zeros -4 and 3 in standard form.

• $x^2+x-12=0$

• $x^2-x-12=0$

• $x^2+7x+12=0$

• $x^2-7x-12=0$