Question

Factor completely, then place the factors in the proper location on the grid. 10b^2 17b 3

Options:
a) (5b + 1)(2b - 3) and (5b + 1)(2b - 3)
b) (5b + 3)(2b - 1) and (2b + 3)(5b - 1)
c) (10b - 1)(b + 3) and (10b - 3)(b + 2)
d) (10b + 3)(b - 1) and (10b - 1)(b + 3)

Answer 1

To factor the expression completely, we can rewrite it as (10b + 3)(b - 1) and (10b - 1)(b + 3).

Step-by-step explanation:

To factor the expression completely, we need to find two binomial factors that multiply to give us the original expression. In this case, the expression is 10b^2 + 17b + 3.

We can start by looking for two numbers whose product is 10 x 3 = 30 and whose sum is 17. The numbers that satisfy these conditions are 10 and 3. So, we can rewrite the expression as (10b + 3)(b + 1).

The correct answer is option d) (10b + 3)(b - 1) and (10b - 1)(b + 3).