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5. Which expression is

equivalent to the following
expression?
10x² – 3x 1 = 0
-
a. (5x + 1)(2x + 1)
b. (10x + 1)(x - 1)
c. (5x + 1)(2x - 1)
d. (10x - 1)(10 + 1)
Simplify it and show your work

5. Which expression is equivalent to the following expression? 10x² – 3x 1 = 0 - a-example-1
User ZakiMak
by
2.8k points

1 Answer

1 vote

Answer: Option (C)

Step-by-step explanation:

Look for a pair of numbers whose PRODUCT is the product of the first and last numbers ( −10 ) and sum is the middle number ( −3 ) .

The two numbers that meet these criteria are −5 and 2 .

Rewrite the −3x term in the expression as −5x + 2x .

10 x 2 − 5x + 2x − 1

Factor by grouping.

(10 x 2 − 5x) + (2x − 1)

5x(2x − 1) + 1 (2x − 1)

(5x + 1) (2x − 1)

User Inordirection
by
3.4k points