Determine which of the following polynomials has x+1 as a factor x^3-x^2-x+1
Answers
Answer:
Conceptual understanding / Model Problem / Model Example /
Activities
l Can we call cube and cuboid as right prisms?
l Have you observed cuboid and cube are also right prisms as their lateral faces
are rectangular and perpendicular to base.
l We know volume of cuboid is product of area of base and height = lb×h
Incube = S3
Hence volume of right prism = Area of base × height
l If base is an equilateral trangle then its volume × a2×h where 'a' is side of
triangle.
l Like prism, pyramid is also a solid figure, An example of pyramid is the
Egyptian pyramids, one of the seven wonders of the world.
l Major difference is that the prism has Lateral faces along with top and base.
Whereas pyramid has Lateral faces with base and vertex at top.
Step-by-step explanation:
- thanks my answer....
Apply remainder theorem
x+1=0
x=−1
Put the value of x=−1 in all equations.
(i) x³+x²+x+1=(-1)³+(1)²+(-1)+1= -1+1-1+1=0
Then x+1 is the factor of equation
(ii) x⁴+x³+x²+x+1=(-1)⁴+(-1)³+(-1)²+(-1)+1=1-1+1-1+1=1
This is not zero.Then x+1 is not the factor of equation
(iii) x⁴+3x³+3x²+x+1=(-1)⁴+3(-1)²+(-1)+1=1
This is not zero.Then x+1 is not the factor of equation
(iv) x³-x²-(2+2)x+✓2=(-1)³-(-1)²-(2+✓2)(-1)+✓2= -1-1+2-✓2+✓2=0
2
This is zero. Then x+1 is the factor of equation