QUIZ-Cubic Equations

1. What are the roots of the cubic equation x 3 6 x 2 + 11 x 6 = 0 MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamiEamaaCa aaleqabaGaaG4maaaakiaayIW7cqGHsislcaaI2aGaamiEamaaCaaa leqabaGaaGOmaaaakiaayIW7cqGHRaWkcaaMi8UaaGjcVlaaigdaca aIXaGaamiEaiabgkHiTiaaiAdacqGH9aqpcaaIWaaaaa@488A@ ?




2. The following cubic equation x 3 + 4 x 2 + 7 x + 6 = 0 h a s a r o o t a t x = 2. MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamiEamaaCa aaleqabaGaaG4maaaakiaayIW7cqGHRaWkcaaMi8UaaGjcVlaayIW7 caaMi8UaaGinaiaadIhadaahaaWcbeqaaiaaikdaaaGccaaMi8Uaey 4kaSIaaGjcVlaayIW7caaI3aGaamiEaiaayIW7caaMi8Uaey4kaSIa aGOnaiabg2da9iaaicdacaaMi8UaaGjcVlaayIW7caaMi8UaamiAai aadggacaWGZbGaaGjcVlaayIW7caaMi8UaamyyaiaayIW7caaMi8Ua aGjcVlaadkhacaWGVbGaam4BaiaadshacaaMi8UaaGjcVlaayIW7ca WGHbGaamiDaiaayIW7caaMi8UaaGjcVlaadIhacqGH9aqpcqGHsisl caaIYaGaaiOlaaaa@77F9@ What are the other roots of the equation?




3. For the following figure, what is the equation of the graph?


cubic