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MATH SOLVE
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Find the product of 2x^4(4x^2 + 3x + 1).
5 months ago
Q:
Find the product of 2x^4(4x^2 + 3x + 1).
Accepted Solution
A:
We want to find the product:
[tex]\displaystyle{ 2x^4\cdot(4x^2 + 3x + 1)[/tex].
By the [tex]\text{Distributive property}[/tex], we distribute [tex]2x^4[/tex] over each of the three terms inside the parenthesis:
[tex]\displaystyle{ 2x^4\cdot(4x^2 + 3x + 1)=2x^4\cdot4x^2+2x^4\cdot3x+2x^4\cdot1[/tex].
Multiplying the coefficients, and adding the exponents we get:
[tex]8x^6+6x^5+2x^4[/tex].
Answer: [tex]8x^6+6x^5+2x^4[/tex].