Question

Polynomial 1: (1 - 1) (6x + 2)

What is the simplified form of Polynomial 1?
a) 0
b) 12x + 4
c) 6x + 2
d) 1

Polynomial 2: (7x^2 + 3x) – (21x^2 – 12)

What is the simplified form of Polynomial 2?
a) -14x^2 + 15x - 12
b) -14x^2 - 9x - 12
c) 28x^2 + 15x - 12
d) 14x^2 - 9x + 12

Answer 1

The simplified form of Polynomial 1 is 0, and the simplified form of Polynomial 2 is -14x^2 + 3x + 12.

The correct answer is A.

Step-by-step explanation:

The simplified form of Polynomial 1, (1 - 1) (6x + 2), is simply 0. This is because anything multiplied by zero equals zero, and 1 - 1 equals zero. Therefore, the correct answer for Polynomial 1 is a) 0.

For Polynomial 2, (7x^2 + 3x) – (21x^2 – 12), we subtract each term inside the second parenthesis from the corresponding term in the first parenthesis, taking care to reverse the sign of the terms inside the parenthesis being subtracted. Simplifying, we get -14x^2 + 3x + 12. Hence, the correct answer for Polynomial 2 is a) -14x^2 + 3x + 12.