Question

What is the product? 3x^5 (2x^2+4x+1)

Answer 1

the answer is C.) 6x^7...

Answer 2

The product of the given polynomial
`3x^5(2 x^2+4x+1)` is
`6x^7+12x^6+3x^5`

Explanation:

Given: Polynomial
`3x^5(2 x^2+4x+1)`

We have to find the product of the given polynomial
`3x^5(2 x^2+4x+1)`

Consider the given polynomial
`3x^5(2 x^2+4x+1)`

Apply distributive rule,
`a(b+c)=ab+ac`

Multiply
`3x^5` with each term in brackets, we have,

`=3x^5\cdot \:2x^2+3x^5\cdot \:4x+3x^5\cdot \:1`

`=3\cdot \:2x^5x^2+3\cdot \:4x^5x+3\cdot \:1\cdot \:x^5`

Apply exponent rule,
`a^b\cdot \:a^c=a^(b+c)`

Simplify, we have,

`=6x^7+12x^6+3x^5`

Thus, The product of the given polynomial
`3x^5(2 x^2+4x+1)` is
`6x^7+12x^6+3x^5`