Question

Factor the following literal expressions:

M = 6x + 18.
N = 8x - 56.
P = 7x² - 13x.
R = 5x - 15x².
a. M = 2(3x + 9), N = 8(x - 7), P = x(7x - 13), R = -5x(3x - 1).
b. M = 2(3x + 9), N = 8(x - 7), P = 7x(x - 13), R = -5x(3x + 1).
c. M = 3(2x + 9), N = 8(x - 7), P = 7x(x - 13), R = -5x(3x - 1).
d. M = 3(2x + 9), N = 8(x - 7), P = x(7x - 13), R = -5x(3x + 1).

Answer 1

The correct factored forms of the given literal expressions are M = 2(3x + 9), N = 8(x - 7), P = x(7x - 13), and R = -5x(3x - 1), which corresponds to option 'a'.

Step-by-step explanation:

Factoring Literal Expressions

To factor the given literal expressions, we need to find the common factors in each expression. Let's examine each one:

• For M = 6x + 18, we can factor out 6, which gives us M = 6(1x + 3) = 6(x + 3).
• In N = 8x - 56, the common factor is 8, so we have N = 8(1x - 7) = 8(x - 7).
• For P = 7x² - 13x, x is the common factor, thus P = x(7x - 13).
• R = 5x - 15x² has a common factor of 5x and is negatively signed, so R = -5x(3x - 1).

After comparing the factored expressions above with the options provided, it appears that option 'a' is the correct factorization, which is:

• M = 2(3x + 9)
• N = 8(x - 7)
• P = x(7x - 13)
• R = -5x(3x - 1)