2. Find the values of a and b if the following polynomials are perfect squares.
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See attachment , here I attached solution with details explanations.
1. (2x² - 3x + 7)² = 4x⁴ - 12x³ + 37x² + ax + b
4x⁴ - 12x³ + 37x² - 42x + 49 = 4x⁴ - 12x³ + 37x + ax + b
compare both sides,
a = -42 and b = 49
Similarly, 2. a = 12 and b = 9
3. a = 49 and b = 70
4. a = 9 and b = -12
1. (2x² - 3x + 7)² = 4x⁴ - 12x³ + 37x² + ax + b
4x⁴ - 12x³ + 37x² - 42x + 49 = 4x⁴ - 12x³ + 37x + ax + b
compare both sides,
a = -42 and b = 49
Similarly, 2. a = 12 and b = 9
3. a = 49 and b = 70
4. a = 9 and b = -12
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VijayaLaxmiMehra1:
Can you help me please?
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