Factorization ( Alyssa

Multiple Choice

Expand
(4n - 5)(2n + 5)

• 8n² + 10n - 25

• 56n² + 4n - 16

• 7n² + 27n - 4

• 56n² - 16

Multiple Choice

If $$\left(x-3\right)$$  and  $$\left(x+7\right)$$  are the factors of the trinomial  $$x^2+bx-21$$  , what is the value of b?

• $$-3$$  

• $$-4$$  

• $$7$$  

• $$4$$  

Multiple Choice

8r³ + 16r²

• 4r²(2r + 4)

• 8r²(r + 2)

• 8(r³ + r²)

• 4(r³ + 2r²)

Multiple Choice

Factorise these
4b⁵+4b³+16b²

• 4b²(b⁴-b²-4^b)

• 4b²(b⁴+4b+5)

• 4b²(b⁵+b³+4b²)

• 4b²(b³+b+4)

Multiple Choice

• $$x^2+25$$

• $$4x+20$$

• $$x^2+10x+25$$

• Not enough info

Multiple Choice

Factor by grouping:
$$x^3-4x^2-4x+16$$  

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

• $$\left(x-4\right)\left(x^2-4\right)$$  

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

• $$\left(x-4\right)\left(x-2\right)$$  

Multiple Choice

What is the factored form of $$5n^3-10n^2+3n-6$$  ?

• $$\left(5n^2+3\right)\left(n-2\right)$$  

• $$\left(5n^2-3\right)\left(n-2\right)$$  

• $$\left(5n^3+3\right)\left(n-2\right)$$  

• $$10n\left(n^2-6\right)$$  

Multiple Choice

Factor the Polynomial

3x³ - 4x² + 9x - 12

• (x² + 3) (3x - 4)

• (x² - 3) (3x + 4)

• (3x² + 3) (x - 4)

• (3x² - 3) (x + 4)

Multiple Choice

We can't factor using difference of two square this

x² + 49. Why?

• Because 49 is not a perfect square

• Because there is no GCF

• Because we can't factor using difference of two squares if it is addition sign.

Multiple Choice

Factor:

x² - 36

• (x + 9)(x - 4)

• (x - 6)(x - 6)

• (x - 9)(x + 4)

• (x + 6)(x - 6)

Multiple Choice

9x² - 49y⁶

• ( 3x + 7y³) (3x + 7y³) 

• ( 3x - 7y³) (3x + 7y³) 

• ( 3x - 7y³) (3x - 7y³) 

• Prime

Multiple Choice

4x²y² - 1

• (2 + xy) (2 - xy)

• (2x + y) (2x - y)

• (2xy + 1) (2xy - 1)

• (2y + x) (2y - x)

Multiple Choice

Factor the binomial completely.  $$36-25x^2$$  

• $$\left(6-5x\right)^2$$  

• $$\left(6+5x\right)^2$$  

• $$\left(6+5x\right)\left(6-5x\right)$$  

• $$prime$$  

Multiple Choice

When factored completely, $$x^3-9x$$  is equivalent to:

• $$x\left(x-3\right)$$  

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

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

• $$x\left(x+3\right)$$  

• Set up two sets of  ()().

• Now you must find multiples of 10 that add up to - 7.  Multiples of 10 could be -2 x -5.  That will give 10 and when they are added it will give -7.  

• ( x - 5) (x - 2)

• Check by multiplying to see if the answer at the top is the result.

Multiple Choice

Factor:
x² + 7x - 30

• (x + 10)(x - 7)

• (x - 10)(x + 3)

• (x + 10)(x + 3)

• (x + 10)(x - 3)

Multiple Choice

Factor the trinomial completely. $$x^2-x-30$$  

• $$\left(x+1\right)\left(x-30\right)$$  

• $$\left(x+5\right)\left(x-6\right)$$  

• $$\left(x+6\right)\left(x-5\right)$$  

• $$prime$$  

Multiple Choice

What is the factored form of the expression? $$x^2+x-6$$  

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

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

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

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

Multiple Choice

If $$\left(x-3\right)$$  is a factor of  $$x^2+x-12$$  , then the other factor is?

• $$\left(4x-3\right)$$  

• $$\left(3x-4\right)$$  

• $$\left(x-4\right)$$  

• $$\left(x+4\right)$$  

How to Find a GCF in a Polynomial

• Break down every term into prime factors. (Expand it)

• Look for factors that appear in every single term to determine the GCF.

• Factor the GCF out from every term in front of parentheses and group the leftovers inside the parentheses

• Multiply each term to simplify.

Multiple Choice

Factor completely: 
3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

Multiple Choice

Which expression is the factored form of $$2x^2-2x-12?$$  

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

• $$2\left(x+6\right)\left(x-1\right)$$  

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

• $$2\left(x+1\right)\left(x-6\right)$$  

Multiple Choice

Which expression is the factored form of $$2x^2-2x-12?$$  

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

• $$2\left(x+6\right)\left(x-1\right)$$  

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

• $$2\left(x+1\right)\left(x-6\right)$$  

Multiple Choice

Factor
3v² - 4v - 7

• (3v-7)(v+1)
• 3(v-7)(v-1)
• (3v+1)(v-9)
• (3v+1)(v-10)

Multiple Choice

Factor
3a² + 4a + 1

• (7a-10)(a-8)
• Not factorable
• (3a+1)(a+1)
• (3a-1)(a-1)

Multiple Choice

Factor
2x² - 13x - 70

• (2x-7)(x+10)
• (7x+5)(x+2)
• (2x+7)(x-10)
• 2(x+7)(x+10)

Multiple Choice

A rectangle has an area of  $$6x^2-x-12$$ and a width of  $$2x-3$$ . Which expression represents the length of the rectangle?

• $$4x-15$$  

• $$4x-9$$  
  

• $$3x-4$$  
  

• $$3x+4$$