Find a quadratic polynomial with roots -7 and 2
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Find a quadratic polynomial with roots -7 and 2
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Verified answer
Find a quadratic polynomial with roots -7 and 2
Answer:
Given roots:
x= -7 & x= 2
Transfer the constant value to the other side. Change its integer sign.
x+7=0 & x-2=0
Multiply x+7 and x-2. Use FOIL method
(x+7)(x-2)=0
x²-2x+7x-14=0
Add/Subtract same terms
x²-2x+7x-14=0
x²+5x-14=0
Equation:
x²+5x-14=0