11. If x+2 and x-l are the factors of x4 + 10x2 +mx + n. then the values of mandate
+I
respectively
(a) 5 and 3
(b) 17 and - 8
c
(d) 23 and -19
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Step-by-step explanation:
An equation is linear if it contains no powers of x besides x1 = x or x0 = 1. For example, y = 2x and y = 2 are linear equations, while y = x2 and y = 1/x are non-linear.
Linear equations are called linear because their graphs form straight lines. As you may recall from your earlier studies of algebra, we can describe any line by its average rate of change, or slope, and its y-intercept. (In fact, it is the constant slope of a line that makes it a line!) These aspects of a line are easiest to identify if the equation of the line is written in slope-intercept form, or y = mx + b. The slope of the line is equal to the coefficient m, and the y-intercept of the line is the point (0, b).
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