Zeros of Polynomials with Factoring

Find the zeros of the polynomial  $p\left(x\right)=\left(x^2-9\right)\left(x^2+x-2\right)$  

•  $x=3,\ x=-3,\ x=-2,\ x=1$  

•  $x=3,\ x=-3$  

•  $x=0,\ x=-3,\ x=3$  

•  $x=9,\ x=-1,\ x=2$  

Tags

CCSS.HSF-IF.C.7C

How many zeros does the polynomial contain?  $p\left(x\right)=\left(x^2-4\right)\left(x^2+4x+3\right)$  

• 2

• 3

• 4

• none

Tags

CCSS.HSF-IF.C.7C

Which polynomial has a degree of 5?

• $f\left(x\right)=\left(x^2-4\right)\left(x^2+9x+14\right)$

• $f\left(x\right)=x\left(x^2-1\right)\left(x^3+27\right)$

• $f\left(x\right)=\left(x^5+x^4+3x^3\right)\left(x^2-25\right)$

• $f\left(x\right)=\left(x^3+2x^2-x\right)\left(x^2-16\right)$

Find the zeros of the polynomial  $f\left(x\right)=3x^3-3x^2-18x$  

•  $x=3,\ x=-3,\ x=18$  

•  $x=0,\ x=3,\ x=-2$  

•  $x=-1,\ x=1,\ x=18$  

•  $x=-2,\ x=3,\ x=1$  

Tags

CCSS.HSF-IF.C.7C

Find the zeros of the polynomial

• $x=2,\ x=4,\ x=6$

• $x=5,\ x=1.5,\ x=-2$

• $x=-3.5,\ x=\frac{1}{2}$

• $x=-5,\ x=-1.5,\ x=2$

Tags

CCSS.HSA.APR.B.3

Determine the factored form of the polynomial.
 $p\left(x\right)=\left(x^2-1\right)\left(x^2-5x+6\right)$  

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

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

•  $p\left(x\right)=\left(x+1\right)\left(x-1\right)\left(x+1\right)\left(x+6\right)$  

•  $p\left(x\right)=x\left(x-1\right)\left(x+6\right)$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Determine a correct first step in factoring the given polynomial.
 $p\left(x\right)=6x^3+24x^2+18x$  

•  $p\left(x\right)=6\left(x^3+24x^2+3x\right)$  

•  $p\left(x\right)=\left(6x^2+3x\right)\left(6x^2+24x\right)$  

•  $p\left(x\right)=6x\left(x^2+4x+3\right)$  

•  $p\left(x\right)=6x\left(4x+3\right)+3x\left(8x+3\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Find the zeros of the polynomial
 $p\left(x\right)=\left(x^2-25\right)\left(x^2+8x+7\right)$  

•  $x=25,\ x=-8,\ x=-7$  

•  $x=-5,\ x=5,\ x=7,\ x=8$  

•  $x=-5,\ x=5,\ x=-7,\ x=-1$  

•  $x=25,\ x=7,\ x=1$  

Tags

CCSS.HSF-IF.C.7C

Find the zeros of the polynomial.
 $p\left(x\right)=\left(x^2-36\right)\left(x^2-12x+27\right)$  

• x = 9

• x = 6

• x = -9

• x=-6

• x = 3

Tags

CCSS.HSF-IF.C.7C

Determine the number of times that the graph of the polynomial will cross or touch the x-axis.
 $p\left(x\right)=\left(x^2-1\right)\left(x^2+7x+10\right)$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4