Multiply (2.4 ⋅ 1014) ⋅ (4 ⋅ 107). Express the answer in scientific notation.
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ANSWER
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EXPLANATION
The given polynomial is
where a=1,b=k, c=30
Let the zeroes of this polynomial be m and n.
Then the sum of roots is
and the product of roots is
The square difference of the zeroes is given by the expression.
From the question, this difference is 169.
This implies that:
We substitute the values of k into the equation and solve for x.
The zeroes are given by;