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In Mathematics / High School | 2014-05-19

How do you factor [tex]a^2 + 11a + 18[/tex]?

Asked by Colene263

Answer (3)

a 2 + 11 a + 18 − − − − − − − − − − − − − − − − − − − − − − − − − − − − − 11 = 9 + 2 18 = 9 ⋅ 2 − − − − − − − − − − − − − − − − − − − − − − − − − − − − − a 2 + 11 a + 18 = ( a + 9 ) ( a + 2 )

Answered by Anonymous | 2024-06-10

a 2 + 11 a + 18 = a 2 + 2 a + 9 a + 18 = a ( a + 2 ) + 9 ( a + 2 ) = = ( a + 2 ) ( a + 9 )

Answered by kate200468 | 2024-06-10

The quadratic expression a 2 + 11 a + 18 can be factored into ( a + 9 ) ( a + 2 ) . This is achieved by finding two numbers (9 and 2) that multiply to 18 and add to 11. Thus, the final factored form is ( a + 9 ) ( a + 2 ) .
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Answered by Anonymous | 2024-11-05