Question

Find the product of 2x4(3x2 + 4x + 1)

Answer 1

Answer:

6x^6+8x^5+2x^4

Step-by-step explanation:

multiply 2x^4 to each term, then multiply like terms. ex. (2x^4*3x^2) then like terms (whole numbers 2*3 and coefficients x^4 and x^2) which is 6 and x^6 or 6x^6. When multiplying coefficients we add them, when taking coefficients to the power of something i.e. (x^2)^2, we multiply them x^4. and we add them by there whole number only if they are the same coefficients i.e 2x^2+5x^2 is 7x^2

Answer 2

The product of a given expression $2x^{4}(3x^{2} +4x+1)$is equal to $6x^{6} +8x^{5} +2x^{4}$.

What is a product?

" Product is defined as when a number or variable is multiplied by two or more numbers or variables."

According to the question,

Given expression,

$2x^{4}(3x^{2} +4x+1)$

Open the bracket to get the product of $2x^{4}$ with each term in the bracket,

$2x^{4} \times 3x^{2} + 2x^{4} \times 4x + 2x^{4} \times 1\\\\= 6x^{6} + 8x^{5} + 2x^{4}$

Hence, the product of a given expression $2x^{4}(3x^{2} +4x+1)$is equal to $6x^{6} +8x^{5} +2x^{4}$.

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