Answered

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If f(x) = 3x3+ 6x2+ 12x and g(x) = x2, what is the product of f(x) and g(x)?
A) 3x3+ 7x2+ 12x
B) 3x6+ 6x4+ 12x2
C) 6x3+ 12x2+ 24x
D) 3x5+ 6x4+ 12x3

Sagot :

Answer:

[tex]3x^5+6x^4+12x^3[/tex]

Step-by-step explanation:

Given that,

[tex]f(x) = 3x^3+ 6x^2+ 12x[/tex]

and

[tex]g(x)=x^2[/tex]

We need to find the product of f(x) and g(x). SO,

[tex]f(x)\times g(x)=(3x^3+ 6x^2+ 12x)\times (x^2)\\\\=3x^3\times x^2+6x^2\times x^2+12x\times x^2\\\\=3x^5+6x^4+12x^3[/tex]

Hence, the correct option is (d).

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