Multiply the polynomial p(x)=2x⁴ + 3x² + 7 and q(x)=x³ + 4x -9 and find the degree of resulting polynomial
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Given Question:
Multiply the polynomial p(x)=2x⁴ + 3x² + 7 and q(x)=x³ + 4x -9 and find the degree of resulting polynomial
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Appropriate Solution :
p (x) = x² - 3x + 2 = 0
x² - 2x - x + 2 = 0
x(x-2) - 1(x-2) = 0
(x - 1)(x - 2) = 0
x = 1, 2Q(x) = x² - 4x + 3 = 0
x² - 3x - x + 4 = 0
x(x - 3) - 1(x - 3) = 0
(x - 3)(x - 1) = 0
x = 1, 3
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So the uncommon roots are 2, 3
Their product íd 2 × 3 = 6
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