Solution- 1 2 4 +(x1 X b +(x) 2 Mow 12 polynomial 62 = we use Howtom's divided difference here 0 2 3 3rd. 25 46x1= 2+3x + 22(2-1) + X(X-1)(x-2) > 5 2 = 2+3x +222-22 + (α. x (x²-3x+2) -372 +2x = 2+3x +22² - 25 + x3 x +32+2 4 Lineare polynomial - 4cx1 = 2+3 x ⇒) 7(3) !! -order polynomial 62 2 Quadratic polynomial - +6x2= -x²+3x+² =)+(3) = -9+9+2 x3-x2 ▸ = 2 +(x)=x =)+(37 = 27-9+9+2 = 29 +3x+2

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.6: Multiplying Polynomials
Problem 47WE
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Solution-
+(x1
0
1
2
4.
X
b
+(x)
2
Mow
12
polynomial
62
we use Howtom's divided difference here
0
2
25
3rd.
>
46x1= 2+3x + 22(2-1) + X(X-1)(x-2)
5
-22
2
= 2+3x +222-22 + ( x (x²-3x+2)
-372 +2x
= 2+3x +22² - 25 + x3
= x
+32+22
4
Lineare polynomial- +₁x) = 2+3 x
⇒)+(3)
!!
-order polynomial
62
2
Quadratic polynomial - +6x2= -x²+3x+²
=)+(3) =
-9+9+2
+(x)=x
x3-x2
=)+(32 = 27-9+8+2 = 29
▸
= 2
=
+3x+2
Transcribed Image Text:Solution- +(x1 0 1 2 4. X b +(x) 2 Mow 12 polynomial 62 we use Howtom's divided difference here 0 2 25 3rd. > 46x1= 2+3x + 22(2-1) + X(X-1)(x-2) 5 -22 2 = 2+3x +222-22 + ( x (x²-3x+2) -372 +2x = 2+3x +22² - 25 + x3 = x +32+22 4 Lineare polynomial- +₁x) = 2+3 x ⇒)+(3) !! -order polynomial 62 2 Quadratic polynomial - +6x2= -x²+3x+² =)+(3) = -9+9+2 +(x)=x x3-x2 =)+(32 = 27-9+8+2 = 29 ▸ = 2 = +3x+2
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