Algebra Quiz 07- Factor Theorem

Factorize:

 $6x^2+17x+5$  

•  $(-3x+4)(-2x+5)$  

•  $(3x+4)(2x+5)$  

•  $(-3x+1)(-2x+5)$  

•  $(3x+1)(2x+5)$  

Answer explanation

Want a copy of solution manual for this quiz?
Contact us at [e-mail]

Factorize:

 $x^3–23x^2+142x–120$  

•  $(x+1)(x+10)(x+12)$  

•  $(x\ –\ 1)(x\ –\ 10)(x\ –\ 12)$  

•  $(x\ –\ 1)(x+10)(x+12)$  

•  $(x+1)(x–10)(x+12)$  

Tags

CCSS.HSA.APR.B.2

Factorize :

 $x^3–2x^2–x+2$  

•  $(x-1),(x\ –\ 1),\left(x\ –\ 2\right)$  

•  $(x+1),(x\ +\ 1),\left(x\ +2\right)$  

•  $(x+1),(x\ –1),\left(x\ +2\right)$  

•  $(x+1),(x\ –\ 1),\left(x\ –\ 2\right)$  

Tags

CCSS.HSA.APR.B.2

Show that

 $\left(x+2\right)$  is a factor of  $x​^3​​−6x​^2​​−x+30\ .$ 
 Find the remaining factors. Use the factors to determine the zeros of the polynomial.

•  $\left(x+4\right)\ and\ \left(x+\ 8\right)$  

•  $\left(x-4\right)\ and\ \left(x-8\right)$  

•  $\left(x\ +\ 3\right)\ and\ \left(x+5\right)$  

•  $\left(x-3\right)\ and\ \left(x-5\right)$  

Tags

CCSS.HSA.APR.B.2

Factorize completely: 

  $f(x)=x^3+x^2−9x−9$  

•  $(x+1)\ ,\ (x+3)\ ,\ (x-3)$  

•  $\left(x\ +\ 1\right)\ ,\ \left(x\ +\ 3\right)\ ,\ \left(x\ +\ 3\ \right)$  

•  $\left(x\ -\ 2\right)\ ,\ \left(x\ +\ 3\right)\ ,\ \left(x\ -3\ \right)$  

•  $\left(x\ +\ 2\right)\ ,\ \left(x\ -\ 3\right)\ ,\ \left(x\ -3\ \right)$  

Use the factor theorem to factorize :

 $f\left(x\right)\ =\ x^{3\ }-\ 2x^2\ -\ 5x\ +6\$  

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

•  $(x-1)\ ,\ (x-3)\ ,\ (x+2)$  

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

•  $\left(x\ -\ 1\right)\ ,\ \left(x\ -\ 3\right)\ ,\ \left(x\ -\ 2\right)$  

Tags

CCSS.HSA.APR.B.2

Find the remainder when  $4x^{3\ }-\ 4x^2\ +\ x\ -5$ is divided by  $\left(x\ +\ 1\right)$  

•  $-15$  

•  $-13$  

•  $-12$  

•  $-14$  

Tags

CCSS.HSA.APR.B.2

Use the factor theorem to determine all the factors of the following expression:

 $x^3\ +\ x^2\ -\ 17x\ +15$  

•  $\left(x\ +\ 1\right)\ ,\ \left(x\ +\ 5\ \right)\ ,\ \left(x\ +\ 3\right)$  

•  $\left(x\ -\ 1\right)\ ,\ \left(x\ +\ 5\ \right)\ ,\ \left(x\ -\ 3\right)$  

•  $\left(x\ -\ 2\right)\ ,\ \left(x\ +\ 6\ \right)\ ,\ \left(x\ -\ 4\right)$  

•  $\left(x\ +\ 2\right)\ ,\ \left(x\ +\ 6\ \right)\ ,\ \left(x\ +\ 4\right)$  

Tags

CCSS.HSA.APR.B.2

Factorize each of the following expression , given that

$$
x^3\ +\ 13x^2+32x\ +20.
  $\left(x+2\right)$  is a factor.

•  $\left(x\ +\ 11\right)\ ,\ \left(x\ +\ 2\right)$  

•  $\left(x\ -\ 10\right)\ ,\ \left(x\ -\ 1\right)$  

•  $\left(x\ +\ 10\right)\ ,\ \left(x\ +\ 1\right)$  

•  $\left(x\ -\ 11\right)\ ,\ \left(x\ -\ 2\right)$  

Tags

CCSS.HSA.APR.B.2

Factorize :

 $x^3-\ 23x^2\ +\ 142x\ -\ 120$  

•  $\left(x\ +1\ \right),\ \left(x\ +\ 10\right),\ \left(x+12\right)$  

•  $\left(x\ -\ 1\right)\ ,\ \left(x\ -\ 10\right)\ ,\ \left(x\ -\ 12\right)$  

•  $\left(x\ -2\right)\ ,\ \left(x+13\right)\ ,\ \left(x\ -\ 16\right)$  

•  $\left(x\ +2\right)\ ,\ \left(x\ -\ 13\right)\ ,\ \left(x\ +\ 16\right)$  

Tags

CCSS.HSA.APR.B.2