The volume of the prism is x³+64.if the height is the binomial factor of the volume and the trinomial factor is the product of the length and width, find the height of the prism.
Answers
x+4 po ang sagot
tama po ang process nung isang sumagot, mali nga lng ang operation
ang equation po dapat ay
a³+b³ = (a+b)(a²-ab+b²)
tas substitute nlng po natin
x³+64=(x+4)(x²-4x+16)
sabi po jan
the HEIGHT is the BINOMIAL FACTOR of the volume
the TRINOMIAL is the product of the length and width
ang hinahanap ay HEIGHT
kaya po ang sagot ay
x+4
tama po si maam/ser, operations lng
Given : The volume of the prism is x³+64.
height is the binomial factor of the volume and
the trinomial factor is the product of the length and width,
To Find : the height of the prism.
Solution:
The volume of the prism is x³+64.
V = x³ + 4³
a³ + b³ = (a + b)(a² - ab + b²)
a = x , b = 4
V = (x + 4)(x² - 4x + 4²)
=> V = ( x + 4)(x² - 4x + 16)
x + 4 is binomial ( having 2 terms)
x² - 4x + 16 is Trinomial ( having 3 Terms)
height is the binomial factor of the volume
Hence height of the prism is x+4
Additional Info:
trinomial factor is the product of the length and width,
Hence product of the length and width is x² - 4x + 16
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