Use synthetic division to find P(-3) for P(x)= x^4 -2x^3 - 4x + 4.
(-3)^2 - 2(-3)^3 - 4(-3) - 4
9 -54 12 - 4
-61.
I don't know if im correct or not . . .
-3 [ 1 -2 0 -4 4 ]
-3 15 -45 147
------------------------------
1 -5 15 -49 151
Check the graph here... https://www.desmos.com/calculator/ixujxbczbk......at P(-3) the value of the polynomial = 151
Use synthetic division to find P(-3) for P(x)= x^4 -2x^3 - 4x + 4.
(-3)^4 - 2(-3^3) -4(-3) + 4
Simplify the following:
(-3)^4-2 (-3^3)-4 (-3)+4
(-1)^2 = 1:
(-3)^4+2 3^3-4 (-3)+4
3^3 = 3×3^2:
(-3)^4+2×3×3^2-4 (-3)+4
3^2 = 9:
(-3)^4+2×3×9-4 (-3)+4
3×9 = 27:
(-3)^4+2×27-4 (-3)+4
(-3)^4 = (-1)^4×3^4 = 1×3^4:
3^4+2×27-4 (-3)+4
3^4 = (3^2)^2:
(3^2)^2+2×27-4 (-3)+4
3^2 = 9:
9^2+2×27-4 (-3)+4
9^2 = 81:
81+2×27-4 (-3)+4
2×27 = 54:
81+54-4 (-3)+4
-4 (-3) = 12:
81+54+12+4
| 1 |
| 8 | 1
| 5 | 4
| 1 | 2
+ | | 4
1 | 5 | 1:
Answer: | =151