Factored Form and Standard Form of Polynomial

What can we find easily in factored form?

• y-intercept

• vertex

• zeros/x-intercepts

If the zeros of a quadratic equation are −2 and 3, the equation can be written as

• (x − 2)(x + 3) = y

• (x + 2)(x − 3) = y

• (x + 2)(x + 3) = y

• (x − 2)(x − 3) = y

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

• y = (2x + 1)(x + 3)

• y = (2x – 1)(x + 3)

• y = (2x – 1)(x – 3)

• y = (2x + 1)(x – 3)

Tags

CCSS.HSA.APR.B.3

How would the equation of this graph look in factored form?

• y = (x – 5)²

• y = (x + 5)²

• y = x(x – 5)

• y = x(x + 5)

Tags

CCSS.HSF-IF.C.7A

How would the equation of this graph look in factored form?

• y = (x – 4)²

• y = (x + 4)²

• y = x(x – 4)

• y = x(x + 4)

Tags

CCSS.HSF-IF.C.7A

How would this equation look in standard form?

• y = x² – 2x + 3

• y = x² – 2x – 3

• y = x² + 2x + 3

• y = x² + 2x – 3

Given the graph, what are the factors

• (x − 2)(x + 1)

• (x − 2)(x − 1)

• (x + 2)(x − 1)

• (x + 2)(x + 1)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

What is the factored form for the following cubic function?

• 2x(x - 3)(x - 4)

• x(x + 3)(x + 4)

• x(x - 3)(x + 4)

• (x + 3)(x - 3)(x - 4)

Tags

CCSS.HSA.APR.B.3

Convert to intercept form (hint: factor completely, GROUPING)

• cannot be factored

• y =(x - 1)²(2x + 7)

• y=(x² - 1)(2x + 7)

• y=(x + 1)(x - 1)(2x + 7)

Tags

CCSS.HSF-IF.C.7C

What is the factored form of a function if it has zeros of 2, 3 and -1?

• (x-2)(x-3)(x+1)

• (x-1)(x-2)(x-3)

• (x-1)(x+2)(x+3)

• (x+1)(x+2)(x+3)

Tags

CCSS.HSA.APR.B.3