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1 vote
10x²+23x+12They are asking me to factorize this equation

User Lich
by
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1 Answer

5 votes

Answer:

(2x + 3)(5x + 4)

Step-by-step explanation:

The given expression is

10x^2 + 23x + 12

This is a quadratic expression. In order to factorize, the first step is to multiply 10x^2 with 12. It becomes 120x^2. We would find two terms such that their sum or difference is 23x and their product is 120x^2. The terms are 15x and 8x. By replacing 23x with 15x + 8x, we have

10x^2 + 15x + 8x + 12

Factorize by grouping. It becomes

5x(2x + 3) + 4(2x + 3)

(2x + 3)(5x + 4)

The factors are (2x + 3) and (5x + 4)

User RufusVS
by
8.7k points

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