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gavmur [86]
2 years ago
5

Your friend attempted to factor an expression as shown. Find the error in your friends work. Then factor the expression correctl

y. Show work please.
2x^2-7x+5

2x^2-5x-2x+5

x(2x-5)+(2x-5)

(x+1)(2x-5)
Mathematics
1 answer:
loris [4]2 years ago
3 0

Answer:

Third step is incorrect. The correct factored form is (x-1)(2x-5).

Step-by-step explanation:

The given expression is

2x^2-7x+5

We need to find the factored form of this expression.

Step 1: Given

2x^2-7x+5

Step 2: Splitting the middle term method, the middle term can be written as (-5x-2x).

2x^2-5x-2x+5

(2x^2-5x)+(-2x+5)

Step 3: Taking out common factors from each parenthesis.

x(2x-5)-1(2x-5)

Step 4: Taking out common factors.

(x-1)(2x-5)

Therefore, the third step is incorrect. The correct factored form is (x-1)(2x-5).

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