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Write a polynomial of least degree with roots and .Write your answer using the variable and in standard form with a leading coefficient of .______
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Q. Write a polynomial of least degree with roots and .Write your answer using the variable and in standard form with a leading coefficient of .______
- Write linear factors for root : To find a polynomial with given roots, we start by writing the linear factors associated with each root. For the root , the corresponding linear factor is .
- Write linear factors for root : Similarly, for the root , the corresponding linear factor is .
- Multiply linear factors: The polynomial of least degree with these roots is obtained by multiplying these linear factors together. So we multiply by .
- Perform multiplication: Performing the multiplication, we get: .
- Simplify the expression: Simplify the expression by combining like terms: .
