Checkpoint Quiz: Factorisation and Simplification

Factor

4b⁵+4b³+16b²

• 4b³(b⁴+b²+4b)

• 4b³(b⁴+4b+5)

• 4(b⁵+b³+4b²)

• 4b²(b³+b+4)

Identify whether the given mathematical statement is correct or not
5 x + 4y = 9xy

• CORRECT
• NOT CORRECT

The factorisation of 4x + 16 is _______

• 4(x + 4)
• 4(x - 4)
• x + 4
• 4x + 4

Tags

CCSS.7.EE.A.1

Identify whether the given mathematical statement is correct or not
(a + 4) (a + 2) = a² + 8 

• CORRECT
• NOT CORRECT

Tags

CCSS.HSA.APR.A.1

The greatest common factor of 5a and 15b is _____

• 5
• 3
• 4
• 15

The factorization of (x³ - 25 x) is ______

• x (x - 5)²
• x (x + 5)²
• x (x + 5) (x - 5) 
• None of these

Choose the correct answer:
a² + bc + ab + ac = ______

• (a + b) (a + c)
• (a + b) (b + c)
• (a + c) (b + c)
• a (a + b + c)

Tags

CCSS.HSA.APR.A.1

(x + 1) (x + 1) is a factor of ____

• x² + 2x + 1
• x² - 2x + 1
• x² - 1 + 2x
• x² + 1 - 2x

Tags

CCSS.HSA.APR.B.2

Choose the correct answer:
The factorisation of 25x²y - 5xy is  

• 5xy (5x - 1)
• 5xy (5x + 1)
• 5xy (5x + 5)
• 5xy (x - y)

Choose the correct answer:
The factors of a⁴ - b⁴ is _____

• (a² + b²) (a + b) (a - b)
• (a² + b²) (a² + b²)
• (a² - b²) (a² - b²)
• None of these