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3a^3+2a^2+6a+4 factor. remember to use the largest common...
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by
WinpossibleUser3722
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3a^3+2a^2+6a+4 Factor. Remember to use the largest common factor and to check by multiplying. Factor out a negative factor if the first coefficient is negative.
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Responses
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3a^3 + 2a^2 + 6a + 4
Factoring this expression with the help of grouping, for that we will take greatest common factor from first two terms and the last two terms.
= a^2{ 3a + 2 } + 2{3a + 2}
Taking largest common factor from the two terms
= {3a + 2}{a^2 + 2}
Checking:
= (3a + 2)(a^2 + 2)
= 3a(a^2 + 2) + 2(a^2 + 2)
= 3a*a^2 + 3a*2 + 2*a^2 + 2*2
= 3a^3 + 6a + 2a^2 + 4
= 3a^3 + 2a^2 + 6a + 4
This is same as question.
Related video lessons:
Factoring a polynomial
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by
Winpossible
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Sep 04, 10 07:31AM PST
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