The product of x3 + 2x2 – 3x + 4 and 2x2 – 5x + 1 is …………�

1.	The product of x3 + 2x2 – 3x + 4 and 2x2 – 5x + 1 is ………………… A) 2x5 – x4 – 15x3 + 25x2 – 23x + 4B) 2x5 – x4 – 15x3 + 25x2 – 23x – 4C) 2x5 – x4 – 15x3 – 25x2 – 23x – 4D) 2x5 – x4 – 15x3 – 23x – 4
Answer» Correct option is (A) 2x⁵ – x⁴ – 15x³ + 25x² – 23x + 4 \((x^3 + 2x^2 – 3x + 4)\) \((2x^2 – 5x + 1)\) \(=2x^5+4x^4-6x^3+8x^2-5x^4-10x^3\) \(+15x^2-20x+x^3+2x^2-3x+4\) \(=2x^5-x^4-15x^3+25x^2-23x+4\) Correct option is A) 2x⁵ – x⁴ – 15x³ + 25x² – 23x + 4

The product of x3 + 2x2 – 3x + 4 and 2x2 – 5x + 1 is ………………… A) 2x5 – x4 – 15x3 + 25x2 – 23x + 4B) 2x5 – x4 – 15x3 + 25x2 – 23x – 4C) 2x5 – x4 – 15x3 – 25x2 – 23x – 4D) 2x5 – x4 – 15x3 – 23x – 4

Answer»

Correct option is (A) 2x⁵ – x⁴ – 15x³ + 25x² – 23x + 4

\((x^3 + 2x^2 – 3x + 4)\) \((2x^2 – 5x + 1)\)

\(=2x^5+4x^4-6x^3+8x^2-5x^4-10x^3\) \(+15x^2-20x+x^3+2x^2-3x+4\)

\(=2x^5-x^4-15x^3+25x^2-23x+4\)

Correct option is A) 2x⁵ – x⁴ – 15x³ + 25x² – 23x + 4