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Answer:
1.) 125
2.) 70
3.) 16
Explanation:
We have to use as you said the Remainder theorem
Solution:
1.) (x⁴-10x³+2x²-8x+5)÷(x-10) Substitute 10 for x
(10)⁴ - 10(10)³ + 2(10)² - 8(10) + 5 Multiply
10,000 - 10,000 + 200 - 80 + 5
= 125 ⬅ Remainder
2.) (x³+4x²+3x-2)÷x-3 Substitute 3 for x
(3)³ + 4(3)² + 3(3) - 2 Multiply
27 + 36 + 9 - 2
= 70 ⬅ Remainder
3.) (3x²-5x+4)÷(x-3) Substitute 3 for x
3(3)² - 5(3) + 4 Multiply
27 - 15 + 4
= 16 ⬅ Remainder
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