Question

if p(x)= X⁴+ 2 x ²_3 X ² + X - 1 is divided by x_ 2 the remainder is .

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Answer 1

Answer:

21

Step-by-step explanation:

• x⁴+ 2 x³- 3x ² + x - 1 =
• (x⁴ - 2x²) + (4x³ - 8x²) + (5x² - 10x) + (11x -22) + 21 =
• (x - 2)(x³ + 4x² + 5x + 11) + 21

As per above, the parenthesis is divisible by x - 2, therefore the remainder is   21