Understanding zeroes and factors of polynomials

What information is known by looking at the following equation:

 $y=-3\left(x+1\right)^3\left(x-5\right)^2\left(x+12\right)^5$ 

• y-intercept/initial value

• zeros

Tags

CCSS.HSF-IF.C.7C

• 1, 2, 3

• 0, 1, 2, 3

• 0, -1, 2, -3

• 0, 1, -2, 3

Tags

CCSS.HSF-IF.C.7C

Find the factors

x (4x+5)

• 0 -5/4

• 0 5/4

• 0 4/5

• 0 -4/5

Tags

CCSS.HSF-IF.C.7C

Determine the zeros and multiplicity for the function:

 $p\left(x\right)=\left(x-5\right)^{11}\left(x+4\right)^3\left(x+12\right)^9$  

•  $5m11,\ \ -4m3,\ -12m9$  

•  $-5m11,\ \ 4m3,\ 12m9$  

•  $11m5,\ \ 3m4,\ 9m12$  

•  $-5m11,\ -4m3,\ 12m9$  

Tags

CCSS.HSF-IF.C.7C

If the zeros of a polynomial are -1, 3, and 7 then what does the polynomial look like in factored form?

• $\left(x-1\right)\left(x+3\right)\left(x+7\right)$

• $\left(x+1\right)\left(x-3\right)\left(x-7\right)$

• $-x^2+3x+7$

• $\left(x-1\right)$

Tags

CCSS.HSF-IF.C.7C

FIND THE ZEROS/ROOTS

P(x)= x⁵-5x³+4x=0

• 1,-1,2,-2,0

• 1,2 multiplicity 2, -1, -2

• 0,±1,±2

• 1,-1,2,4,-4

Tags

CCSS.HSF-IF.C.7C

What CANNOT be determined by the factors of a polynomial function in factored form?

• y-intercept

• x-intercepts

• solutions

• degree of the polynomial

Tags

CCSS.HSF-IF.C.7C

Find zeros

f (x) = (2x − 1)(x − 5)

• 1/2, 5, -5

• 1, 2, 5, -5

• 1\2, 5

• -1, 2, 5, -5

Tags

CCSS.HSF-IF.C.7C

Given the equation and graph, determine the number and types of roots

 $y=2x^3\ +x^2-4x$ 

• 2 real roots, no imaginary

• 3 real roots, 1 imaginary

• 2 real roots, 2 imaginary

• 3 real roots, no imaginary

Tags

CCSS.HSF-IF.C.7C

Which of the following zeroes of this graph have a multiplicity of 2?

• x = -3

• x = -1

• x = 2

• x = 10

Tags

CCSS.HSF-IF.C.7C