Question

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

Answer 1

Answer:

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

Step-by-step 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 $6x^7+12x^6+3x^5$

Answer 2

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