Question

What should be added to the polynomial so that the resulting polynomial has (x + 1) as one of its factors?

A) -10
B) -4
C) 4
D) 10

Answer 1

A linear equation graphs a straight line and has the general form of y = mx + b. Both options A and B are examples of linear equations, therefore the correct answer is D. A and B.

Step-by-step explanation:

Understanding Linear Equations

Before determining which equations are linear, let’s define a linear equation. A linear equation is an equation that graphs a straight line when plotted on a coordinate grid. This line can be represented functionally as y = mx + b, where 'm' represents the slope and 'b' represents the y-intercept.

Option A, y = -3x, is a linear equation because it fits the format y = mx + b with a slope of -3 and a y-intercept of 0.

Option B, y = 0.2 + 0.74x, is also a linear equation. It is in the format y = mx + b with a slope of 0.74 and a y-intercept of 0.2.

Option C, y = -9.4 - 2x, again fits the format of a linear equation, y = mx + b, with a slope of -2 and a y-intercept of -9.4.

However, within the context of the given choices, the correct answer would be D. A and B, since both Option A and Option B are examples of linear equations.