Write a polynomial of least degree with roots −1 and −6.Write your answer using the variable x and in standard form with a leading coefficient of 1.______
Q. Write a polynomial of least degree with roots −1 and −6.Write your answer using the variable x and in standard form with a leading coefficient of 1.______
Identify root −1 factor: The factor for the root −1 is (x−(−1)) which simplifies to (x+1).
Identify root −6 factor: The factor for the root −6 is (x−(−6)) which simplifies to (x+6).
Multiply factors: Now we multiply the factors (x+1) and (x+6) to get the polynomial.(x+1)(x+6)=x2+6x+x+6
Combine like terms: Combine like terms to write the polynomial in standard form.x2+6x+x+6=x2+7x+6
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