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secondary 3 | A Maths
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Hi, I need help with this question please. Thank you!
Date Posted: 3 years ago
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P(x) = x + 1, Q(x) = x² - x + 1
Method ① : Expand fully
P(x) • Q(x) = (x + 1)(x² - x + 1)
= x³ - x² + x + x² - x + 1
= x³ - x² + x² + x - x + 1
= x³ + 1
Coefficient of x² = 0
Method ② : select the terms that will give a product which is a term in x²
x(-x) + 1(x²)
= -x² + x²
= 0
= 0x²
Coefficient of x² = 0
Method ① : Expand fully
P(x) • Q(x) = (x + 1)(x² - x + 1)
= x³ - x² + x + x² - x + 1
= x³ - x² + x² + x - x + 1
= x³ + 1
Coefficient of x² = 0
Method ② : select the terms that will give a product which is a term in x²
x(-x) + 1(x²)
= -x² + x²
= 0
= 0x²
Coefficient of x² = 0
Thank you!
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