Which is the product?

6p3 + 23p2 + 9p + 28
6p3 – 23p2 – 9p + 28
6p3 – 23p2 + 9p + 28
6p3 + 23p2 – 9p + 28

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

Option C: is the correct answer.

Explanation:

The two expressions are and

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

Simplifying we have,

Adding the like terms, we have,

Thus, the product of the two expression is

Hence, Option C is the correct answer.

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°