Question 2:
What are the factors of x² − 64?
let us first find square root of 64, which is 8
so writing x² − 64 as x² − 8²
Now we use the identity
a²-b² = (a+b)(a-b)
x²-8² = (x+8)(x-8)
So answer is option C. (x+8)(x-8)
Question 2:
Identify the factors of 4x² + 20x + 25.
Using AC method , we first multiply 4*25 =100
finding factors of 100 that add up to give 20 we have 10 and 10.
4x² + 10x+10x + 25
factoring by grouping we have,
(2x+5)(2x+5)
Option C is correct.
Question 3:
Determine the factors of 5x² + 29x − 6.
Using AC method, multiplying 5(-6) = -30, finding two factors of -30 that add up to give 29 are 30 and -1.
5x² + 30x-x − 6
factoring by grouping we get
(x+6)(5x-1)
option 1) is correct.
Question 4:
A polynomial function can be written as (x − 1)(x − 4)(x + 7). What are the x-intercepts of the graph of this function?
equating each product equal to zero,
(x-1) =0 , x=1
(x-4)=0, x=4
x+7=0, x=-7
so zeros are (1,0) , (4,0) and (-7,0).
Option C is correct.
