If \( (x+2)(x+5) \) is the HCF of the polynomials \( (x+2)\left(x^{2}+6 x+a\right) \) and \( (x+...

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If \( (x+2)(x+5) \) is the HCF of the polynomials \( (x+2)\left(x^{2}+6 x+a\right) \) and \( (x+5)\left(x^{2}+8 x+b\right) \), then find the values of \( a \) and \( b \).
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