Find all common zeroes of polynomial x3+5x2-9x-45 and x3+8x2+15x
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Answer:
Step-by-step explanation:
Let P(x) = x3 + 5x2 - 9x - 45 and Q(x) = x3 + 8x2 + 15x.
Let P(x) = x3 + 5x2 - 9x - 45 = x2(x + 5) - 9 (x+5)
= (x+5) (x2 - 9)
= (x+5) (x+3) (x-3)
Q(x) = x3 + 8x2 + 15x = x(x2 + 8x + 15)
= x (x+5) (x+3) ∴ The common zeroes of the polynomials are (x+5) and (x+3).
polynomials are (x+5) and (x+3).
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Question= Find the common zeroes of all the polynomial x3+5x2-9x-45 and x3+8x2+15x
Solution⬇️
Let P(x) = x3 + 5x2 - 9x - 45 and Q(x) = x3 + 8x2 + 15x.
Let P(x) = x3 + 5x2 - 9x - 45 = x2(x + 5) - 9 (x+5)
= (x+5) (x2 - 9)
= (x+5) (x+3) (x-3)
Q(x) = x3 + 8x2 + 15x = x(x2 + 8x + 15)
= x (x+5) (x+3) ∴ The common zeroes of the polynomials are (x+5) and (x+3).
polynomials are (x+5) and (x+3).
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