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gregori [183]
3 years ago
5

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

Mathematics
2 answers:
s2008m [1.1K]3 years ago
8 0

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

almond37 [142]3 years ago
5 0
<span><span>the answer is C.) 6x^7...
  </span></span>
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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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