A. Find the remainder when the first polynomial is divided by the second
polynomial. Use the Remainder Theorem.
1. x3 – x2 + 6x – 9; x + 1
2. x4 + 2 – 5x2 + x; x – 3
3. 2x4 – 10 + 3x2; x – 4
4. x3 – 4x2 + 5x – 2; x – 1
5. x3 + 9x2 + 2x – 48; x + 8
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Answers & Comments
Answer:
1.x+1=0
x = -1
=(-1)3 -(-1)2+6(-1)-9
=-1-1+(-6)-9
=-17
2.x-3=0
×=3
=(3)4+2-5(3)2+3
=81+2-45+3
=41
3.x-4=0
×=4
=2(4)4-10+3(4)2
=512-10+48
=550
4.x-1=0
×=1
=(1)3-4(1)2+5(1)-2
=1-4+5-2
=0
5.×+8=0
×=-8
=(-8)3+9(-8)2+2(-8)-48
=-512+576-16-48
=0