x + 2 is not a factor of the polynomial and - 2 is <u>not a root</u> of the function.
<h3>
Synthetic subdivision of the polynomial</h3>
The synthetic subdivision of the polynomial is calculated as follows;
if -2 is a root, then x + 2 is a factor of the polynomial.
-3x³ + 6x² - 10x + 17
--------------------------------------
x + 2 √-3x⁴ + 2x² - 3x + 4
- (-3x⁴ - 6x³)
-----------------------------
6x³ + 2x² - 3x + 4
- (6x³ + 12x²)
-----------------------------
-10x² - 3x + 4
- (-10x² - 20x)
----------------------------
17x + 4
- (17x + 34)
-----------------------
-30
The remainder is not equal to zero, thus, x + 2 is not a factor of the polynomial and - 2 is not a root of the function.
Learn more about factors here: brainly.com/question/219464
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Answer:
13 players
Step-by-step explanation:
65 x 0.2 = 13
Answer:
Step-by-step explanation:
The diagram shows lines passing through the points of two equations.
We will determine the points through which the lines pass through on the graphs.
Looking at the line on the right hand side of the graph, the slope is
(y2-y1)/x(2-x1) where
y2= 0, y1 = 4
x2 = 3, x1=0
Slope, m = (0-4)/3-0
Slope = -4/3
Recall the equation of a straight line is y = mx + c
Where c is the intercept.
So the equation is y
y = -4x/3 + 4
Looking at the line on the left hand side of the graph, the slope is
(y2-y1)/x(2-x1) where
y2= 0, y1 = 2
x2 = -1, x1 =0
Slope, m = (0-2)/-1-0
Slope = -2/-1 = 2
Applying equation of a straight line is y = mx + c
The equation
y = 2x + 2
So the equations are
-4x/3 + 4. If x lesser than or equal 0
2x + 2. If x greater than 0
Answer:
126.5 cm²
Step-by-step explanation:
(23×11)×1/2=Area
(253) × 1/2
=126.5
hope this helped
Answer:
x = 9
y = 13
Step-by-step explanation:
Side-Side-Side or SSS means that if all three sides of one triangle are equal to all three corresponding sides of another triangle, then the two triangles are considered to be congruent (equal).
Therefore, GH = PM ⇒ 7x + 8 = 6y - 7
and, GP = HM ⇒ 8x - 10 = 5y - 3
Rewrite the first expression to make x the subject, then substitute this into the second equation, and solve for y:
GH = PM
⇒ 7x + 8 = 6y - 7
⇒ 7x = 6y - 15
⇒ x = (6/7)y - 15/7
Substituting x = (6/7)y - 15/7 into GP = HM:
GP = HM
⇒ 8x - 10 = 5y - 3
⇒ 8[(6/7)y - 15/7] - 10 = 5y - 3
⇒ (48/7)y - 120/7 - 10 = 5y - 3
⇒ (13/7)y = 169/7
⇒ y = 13
Now we have found a value for y, substitute this into one of the expressions and solve for x:
8x - 10 = 5y - 3
⇒ 8x - 10 = (5 x 13) - 3
⇒ 8x - 10 = 62
⇒ 8x = 72
⇒ x = 9