How do you find the zeros of #y=(x+4)(x-5)(x-6)#?

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Answer 1 · 2017-02-03T08:47:08

See explanation.

The given formula is a product of 3 expressions, so it is equal to zero if and only if any of those expressions is zero:

#(x+4)(x-5)(x-6)=0 iff #

#x+4=0 vv x-5=0 vv x-6=0 iff#

#x=-4 vv x=5 vv x=6#

Answer:

This function has 3 zeros:

#x_1=-4#, #x_2=5# and #x_3=6#