Activity 3: The remainder theorem.
A. Find the remainder of the following:
5.) (5x²³⁴+2) ÷ (x+1)
MATH PO NG GRADE 10 ITO PAKISAGOT, I WILL SELECT BRAINLIEST IF W/ SOLUTION. THANK YOU.
A. Find the remainder of the following:
5.) (5x²³⁴+2) ÷ (x+1)
MATH PO NG GRADE 10 ITO PAKISAGOT, I WILL SELECT BRAINLIEST IF W/ SOLUTION. THANK YOU.
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Step-by-step explanation:
STEP 1:Equation at the end of step 1
STEP 2:
2 + 5x234
Simplify —————————
x + 1
Trying to factor as a Sum of Cubes:
2.1 Factoring: 2 + 5x234
Theory : A sum of two perfect cubes, a3 + b3 can be factored into :
(a+b) • (a2-ab+b2)
Proof : (a+b) • (a2-ab+b2) =
a3-a2b+ab2+ba2-b2a+b3 =
a3+(a2b-ba2)+(ab2-b2a)+b3=
a3+0+0+b3=
a3+b3
Check : 2 is not a cube !!
Ruling : Binomial can not be factored as the difference of two perfect cubes
2.2 Attempting Polynomial Long Division
Attempted Long division of
2 + 5x234
By :
x + 1
Was aborted due to the followinf reason :
Power of dividend too high for Tiger to process
Final result :
2 + 5x234
—————————
x + 1