The number is -11/4 less than -8/3
yes, there are infinitety many polynomial that have exactly one real root just like your example, to determine the real root first let the real root is a, and the complex roots are b±ic the polynomial satisfy
-9x³ + 19x² + 17 = -(x - a)(x - b - ic)(x - b + ic)
9x³ - 19x² - 17 = (x - a)(x - b - ic)(x - b + ic)
Answer:
x = -8 and x= 7
Step-by-step explanation:
recall that for a rational expression, the vertical asymptotes occur at x-values that causes the expression to become undefined. These occur when the denominator becomes zero.
Hence the asymptototes will occur in x-locations where the denominator , i.e
(x+8)(x-7) = 0
solving this, we get
(x+8) = 0 ----> x = -8
or
(x-7) = 0 ------> x = 7
hence the asymptotes occur x = -8 and x= 7
Answer: 21
Step-by-step explanation: We are given that angle ABC is dilated with center P.
Scale factor=3
Angle A'B'C' is formed after dilation of angle ABC.
Dilation: when a figure is dilated by scale factor a then, the figure shape does not change.
After dilation, the size of figure changes.
The initial figure and the figure obtained after dilation are similar in shape.
When two figures are similar then , the angles of one figure are congruent to its corresponding angles in other figure and ratio of their corresponding sides are equal.
The measure of angle ABC=21'
After dilation by scale factor 3 then, the measure of angle A'B'C' remains=21'
Because the shape does not change in dilation transformation.
The graph shows the solution to be (x, y) = (-1, 3).