Which values of x would make a polynomial equal to zero if the factors of the polynomial were (x+3) and (x+12)

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uchechukwueigwe uchechukwueigwe · Answer 1 · 2019-02-08T00:18:43+01:00

Answer:

A product of factors is zero if and only if one or more of the factors is zero. That is, if ab = 0, then either a = 0 or b = 0 (or both).

Hence (x+3)(x+12) = 0 only if (x+3) = 0 or (x+12) = 0 or both. (x+3) = 0 when x = 3.(x+12) = 0 when x = 12.

Hence the values of x that make (x+3)(x+12) = 0 are x = 3 and x = 12.

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pinquancaro pinquancaro · Answer 2 · 2019-07-03T13:13:36+02:00

Answer:

The value of x is -3 and -12 which make a polynomial equal to zero.

Step-by-step explanation:

Given : The factors of the polynomial were (x+3) and (x+12).

To find : Which values of x would make a polynomial equal to zero.

Solution :

The factors of the polynomial were (x+3) and (x+12).

To find the value of x we equation the product of factors equate to zero.

i.e. [tex](x+3)(x+12)=0[/tex]

[tex](x+3)=0\text{ (or) }(x+12)=0[/tex]

[tex]x=-3\text{ (or) }x=-12[/tex]

So, The value of x is -3 and -12 which make a polynomial equal to zero.