Factoring Review

Factoring Review

Multiple Choice

Factor the following

$$49a^8b^5c+14a^3b^9c^4-21a^5b^7c^2$$  

• $$a^3b^5c\left(49a^5+14b^4c^3-21a^2b^2c\right)$$  

• $$7a^8b^9c^2\left(14\right)$$  

• $$7a^3b^5c\left(7a^5+2b^4c^3-3a^2b^2c\right)$$  

• $$a^8b^5c\left(49-14b^4c^2+35b^2c\right)$$  

Multiple Select

Factor the following

$$5x^3y^8z^3-15xyz+35x^4y^3z^2$$  

• $$5xyz\left(x^2y^7z^2-3+7x^3y^2z\right)$$  

• $$xyz\left(5x^2y^7z^2-15+35x^2yz\right)$$  

• $$5x^3y^8z^3\left(-2+7x\right)$$  

Multiple Choice

Factor the following

$$x^2+3x-18$$  

• $$\left(x+2\right)\left(x-9\right)$$  

• $$\left(x+6\right)\left(x-3\right)$$  

• $$\left(x-6\right)\left(x+3\right)$$  

• $$\left(x-2\right)\left(x+9\right)$$  

Fill in the Blanks

Factor the following (do not type any spaces in your answer)

$x^2-5x-24$  

Multiple Choice

Factor the following

$$12x^2+14x-6$$  

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

• $$\left(x+\frac{8}{12}\right)\left(x-\frac{9}{12}\right)$$  

• $$\left(4x+6\right)\left(3x-1\right)$$  

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

Multiple Choice

Factor the following

$$125x^3+216$$  

• $$\left(5x-6\right)\left(25x^2-30x-36\right)$$  

• $$\left(5x+6\right)^3$$  

• $$\left(5x+6\right)\left(25x^2-30x+36\right)$$  

• $$\left(5x+6\right)^2\left(5x+6\right)$$  

Factor the following 

Multiple Choice

Factor the following.

$$x^2+4x+4-16b^2$$  

• $$\left(x+2\right)^2-4b2$$  

• $$\left[\left(x+2\right)+4b\right]\left[\left(x+2\right)-4b\right]$$  

• $$\left[\left(x+2\right)-4b\right]\left[\left(x-2\right)+4b\right]$$  

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

Fill in the Blanks

Factor the following

$9y^2-625z^2$