Question

Multiply (x4 + 1) (3x2 + 9x + 2)

Answer 1

Hello there!

(x^4 + 1)(3x^2 + 9x + 2)

We need to use the distributive property

=(x^4)(3x^2) + (x^4)(9x) + (x^4)(2) + (1)(9x) + (1)(2)

= 3x^6 + 9x^5 + 2x^4 + 3x^2 + 9x + 2


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Answer 2

Answer: The required multiplied expression is
`3x^6+9x^5+2x^4+3x^2+9x+2.`

Step-by-step explanation: We are given to multiply the following :

`E=(x^4+1)(3x^2+9x+2)~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

We will be using the following property to execute the multiplication :

`(a+b)* c=a* c+b* c.`

From (i), we have

`E\\\\=(x^4+1)(3x^2+9x+2)\\\\=x^4(3x^2+9x+2)+1(3x^2+9x+2)\\\\=3x^6+9x^5+2x^4+3x^2+9x+2.`

Thus, the required multiplied expression is
`3x^6+9x^5+2x^4+3x^2+9x+2.`