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cluponka [151]
4 years ago
9

Find the zeros of the following expression x^2+5x+6 show all work

Mathematics
1 answer:
GaryK [48]4 years ago
8 0
Let y = 0 to find the zeros.
x^{2} + 5x + 6 = 0

We can now split the middle term into factors of 6 that add up to 5.
x^{2} + 3x + 2x + 6 = 0

Group the first two terms, and group the last two terms, and factorise.
(x^{2} + 3x) + (2x + 6) = 0
x(x + 3) + 2(x + 3) = 0

Group like terms.
(x + 3)(x + 2) = 0

Now, we know that in order for a zero to occur, either x + 3 = 0 or x + 2 = 0.
Hence, x = -3 and -2 are the zeros in this quadratic.
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