Answer:
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Step-by-step explanation:
The factors of 42 : ±1 , ±2 , ±3 , ±6, ±7, ±14, ±21 , ±42
<u>Using trial and error method we will find the first root of the polynomial.</u>
1 : ( 1 )³ - 10 ( 1 )² - 53 ( 1 ) - 42
1 - 10 - 53 - 42 ≠ 0
Therefore 1 is not a root
-1 : ( -1 )³ - 10 (- 1 )² - 53 (- 1 ) - 42
- 1 - 10 + 53 - 42
53 - 53 = 0
Therefore - 1 is a root of the polynomial.
Therefore ( x + 1) is a factor.
<u>Now by long division or by using synthetic division we can find other factors.</u>
<u>Synthetic Division :</u>
-1 | 1 -10 -53 - 42
| 0 - 1 11 42
|______________________
1 - 11 - 42 0
Therefore ,
------ ( 1 )
<u>Next further factorize x² - 11x - 42</u>
x² - 11x - 42
= x² - 14x + 3x - 42
=x(x - 14) + 3 (x - 14)
=(x + 3 )(x - 14)
Therefore ,
Answer:
A
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = 
bh ( b is the base and h the perpendicular height )
Here b = 13 and h = 4 , thus
A = × 13 × 4 = × 52 = 26 units² → A
2x*2 + 6x + 80
First we have to use distribution property
2(x*2 + 3x + 40)=0
Divide 2 to both sides
X*2 + 3x + 40=0
Multiply -1
-x*2 -3x-40=0
Add two numbers to get 3x
Multiply same two numbers that you add to get 40x*2
Add
-8x+5x= -3x
Multiply
-8x . 5x= -40x*2
-x*2-8x+5x-40
(X*2-8x) + (5x-40)
X(x-8)+ 5(X-8)
Common factor
(X-8)(x+5)
This would help you!
Answer:
A
Step-by-step explanation:
P^T is transpote matrix. So the rows of matrix P you write like columns in P^T.
So we have first row: 2, 5, it will be firsl column
2nd row: 8,1 will be 2nd column.
It is matrix:
2 8
5 1
This is matrix a)
Answer: x is, 2 6 8 10 20-- i think
Step-by-step explanation: y is, 2 3 4 6 10
