Question

Which is the product?

Answer 1

Answer:

c ;)

Step-by-step explanation:

Answer 2

Question:

Iliana multiplied 3p – 7 and 2p^2 – 3p – 4. Her work is shown in the table.

Which is the product?

6p^3 + 23p^2 + 9p + 28

6p^3 – 23p^2 – 9p + 28

6p^3 – 23p^2 + 9p + 28

6p^3 + 23p^2 – 9p + 28

Answer:

Option C: $6 p^{3}-23 p^{2}+9 p+28$ is the correct answer.

Explanation:

The two expressions are $3 p-7$ and $\left2 p^{2}-3 p-4\right$

The product of the expression can be determined by multiplying each of the first term with the second term of the expression, we get,

$(3 p-7)\left(2 p^{2}-3 p-4\right)$

$3 p \cdot 2 p^{2}+3 p(-3 p)+3 p(-4)+(-7) \cdot 2 p^{2}+(-7)(-3 p)+(-7)(-4)$

Simplifying we have,

$6p^3-9p^2-12p-14p^2+21p+28$

Adding the like terms, we have,

$6 p^{3}-23 p^{2}+9 p+28$

Thus, the product of the two expression is $6 p^{3}-23 p^{2}+9 p+28$

Hence, Option C is the correct answer.