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Question
Find the zeroes of the quadratic polynomial 8x2−2x−15.
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Solution
8x2−2x−15=0⟹8x2−12x+10x−15=0⟹4x(2x−3)+5(2x−3)=0⟹(4x+5)(2x−3)=0⟹x=−54,x=32
⟹8x2−12x+10x−15=0
⟹4x(2x−3)+5(2x−3)=0
⟹(4x+5)(2x−3)=0
⟹x=−54,x=32
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are zeroes of the polynomial x2 − 2x − 15, then form a quadratic polynomial whose zeroes are (2