Unit 8 Factoring

Factoring

By Rabah Issa

Watch the following videos and take NOTES!

Multiple Choice

Standard form of a quadratic equation

• y=x²

• y=ax²+bx+c

• y=mx+b

• y=x

Multiple Choice

Which of the following is a factor of x²-10x+24?

• x-4
• x+4
• x+6
• x-2

Multiple Choice

Factor
x² + 9x - 36

• (x + 12)(x - 3)
• (x + 9)(x - 4)
• (x - 12)(x + 3)
• (x - 9)(x - 4)

Multiple Choice

Factor
n² + 16n + 63

• (n-7)(n+4)
• (n+7)(n-9)
• (n-3)(n-10)
• (n+7)(n+9)

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
a² - a - 12

• (a - 4)(a + 3)
• (a + 6)(a - 4)
• (a - 6)(a + 4)
• (a + 4)(a - 3)

Multiple Choice

Factor:
 2m² + 3m - 9

• 2(m + 3)(m - 3)
• (2m - 3)²
• (m + 3)(2m - 3)
• (2m + 3)(m - 3)

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

Factor:
x² + 7x - 30

• (x + 10)(x - 7)
• (x - 10)(x + 3)
• (x + 10)(x + 3)
• (x + 10)(x - 3)

Multiple Choice

Factor
x² + 9x - 36

• (x + 12)(x - 3)
• (x + 9)(x - 4)
• (x - 12)(x + 3)
• (x - 9)(x - 4)

Multiple Choice

Factor
a² - a - 12

• (a - 4)(a + 3)
• (a + 6)(a - 4)
• (a - 6)(a + 4)
• (a + 4)(a - 3)

Multiple Choice

Which of the following is a factor of
r² -16r + 60 ?

• r + 6
• r + 10
• r - 6
• r -30

Multiple Choice

Factor
x² -16x + 48

• (x - 12)(x - 4)
• (x + 6)(x - 8)
• (x + 12)(x - 4)
• (x -16)(x - 3)

Multiple Choice

Factor
3a² + 4a + 1

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

Multiple Choice

Factor
9x²-6x-8

• (3x+2)(3x-4)
• (3x+2)(3x+4)
• (3x-2)(3x-4)
• (x-1)(9x+8)

Multiple Choice

Factor
4x²-25x+25

• 4(x-5)(x+5)
• (x+5)(4x+5)
• (x-5)(4x-5)
• (x+2)(9x+1)

Multiple Choice

Which of the following is a factor of
4n²-17n-15?

• n+5
• 4n-5
• 4n-3
• 4n+3

Multiple Choice

Factor:
 2x² - 3x - 2

• (2x - 2)(x + 1)
• (2x + 1)(x - 2)
• (2x - 1)(x - 2)
• (2x - 1) (x - 1)

Multiple Choice

Factor:x² - 25

• ( x + 5 ) ( x - 5 ) 
• ( x - 5 ) ( x - 5 ) 
• ( x + 5 ) ( x + 5 ) 
• Prime

Multiple Choice

Factor
v² - 6v + 9

• (v-3)²
• (v-6)²
• (v-9)(v+6)
• not factorable

Multiple Choice

Factor
x² + 4x + 3

• (x - 1)(x - 3)
• (x + 1)(x + 3)
• (x - 1)(x + 3)
• (x + 1)(x - 3)

Multiple Choice

Which of the following is a factor of
x² - 9x + 20?

• x - 10
• x - 20
• x + 4
• x - 5

Multiple Choice

Factor
x² + 11x + 24

• (x + 6)(x + 4)
• (x + 10)(x + 2)
• (x + 8)(x + 3)
• (x + 2)(x + 12)

Multiple Choice

Factor completely.
3x² + 10x - 8

• (3x + 2)(x + 4)
• (7x + 5)(x + 2)
• (3x - 2)(x + 4)
• (7x - 3)(x - 4)

Multiple Choice

Factor completely.
5x² - 7x + 2

• 5(x - 2)(x + 1)
• (5x - 2)(x + 1)
• (7x - 1)(x - 4)
• (5x - 2)(x - 1)

Multiple Choice

Factor:
x² - 9

• (x + 3)(x - 3)
• (x + 3)²
• (x - 3)²
• (x+3)(x+3)

Multiple Choice

Which of the following is a factor of 3x² - 7x + 2?

• x - 1
• x - 2
• 3x - 2
• 3x + 1

Multiple Choice

Find the zeroes of the quadratic equation

d² - 10d + 25 = 0

• d = -5 and d = +5

• d = 15 and d = -10

• d = -5 and d = 20

• d = 5

Multiple Choice

If a quadratic function is represented as f(x) = (x - 7)(x + 8), find the zeroes.

• x = - 7 and x = 8

• x = 7 and x = -8

Multiple Choice

Identify the solutions of the graph?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

Multiple Choice

Select an equivalent expression of:

(x - 3)(x - 3)?

• (x² - 3²)

• (x² - 3)

• (x + 3)(x - 3)

• (x - 3)²

Multiple Choice

What are the zeros of x²+9x+14

• 2, 7
• -2, -7
• 2, -7
• -2, 7

Multiple Choice

Which is a zero of the graph?

• 0
• -1
• 1.5
• -3

Multiple Choice

What are the solutions?

• 0 and 8
• -2 and -4
• 3 and -1
• 2 and 4

Multiple Choice

What are the green dots called?

• axis of symmetry
• vertex
• parabola
• roots or x-intercepts

Multiple Choice

What  are the solutions of this graph?

• -2 and 3
• -1/2 and -6
• -2 and -6
• 3 and -6

Multiple Choice

How many solutions does this graph have?

• one
• two
• no solutions
• cannot be determined

Multiple Choice

What are the x-intercepts?

• 0 and 2
• -4 and 0
• 2 and 3
• 0 and 4

Multiple Choice

Use the graph to determine the solutions.

• -1 and -3
• 1 and -3
• 1 and 3
• -1 and 3

Multiple Choice

.How many zeros does this parabola have? 

• 3
• 2
• 0
• 1

Multiple Choice

Find the zero(s) of the function.

• x = 1
• x = -3
• x = {-1, 3}
• x = 2

Multiple Choice

Which is a zero of the graph?

• 0
• -1
• 1.5
• -3