9000146708 Level: CDivide the following two polynomials using long division. (2x3+x2−17x+5):(x2+3x−1)2x−52x+52x+7+2x−2x2+3x−12x+7+12−40xx2+3x−1
9000146209 Level: CFactor the following expression. 27a3−8b9(3a−2b3)(9a2+6ab3+4b6)(3a+2b3)(9a2−6ab3+4b6)(3a−2b3)(9a2+12ab3+4b6)(3a+2b3)(9a2−12ab3+4b6)
9000146210 Level: CFactor the following expression. 64x6+125(4x2+5)(16x4−20x2+25)(4x2−5)(16x4+20x2+25)(4x2+5)(16x3−20x2+25)(4x2−5)(16x3+20x2+25)
9000145401 Level: CIdentify a true statement on the function f(x)=2x3+3x2−12x−12.The function f has a local maximum at the point x=−2.The function f has a local minimum at the point x=−2..The global maximum of f on R is at x=−2.The global minimum of f on R is at x=−2.
9000145402 Level: CIdentify a true statement about the function f(x)=2x2−x44.The global maximum of f on R is at x=2 and x=−2.The global minimum of f on R is at x=2 and x=−2.The function f has a local minimum at the point x=2.The function f has a local minimum at the point x=−2.
9000145403 Level: CIdentify a true statement on the function f(x)=4−3xx(1−x).The function f has a local minimum at the point x=23.The function f has a local maximum at the point x=23.The global maximum of f on R∖{0.1} is at x=23.The global minimum of f on R∖{0.1} is at x=23.
9000145404 Level: CIdentify a true statement about the function f(x)=x3−3x2+3x+2.There is neither local minimum nor maximum of f.The function f has a local maximum at the point x=1.The function f has a local minimum at the point x=1.The global minimum of f on R is at x=1.
9000145405 Level: CIdentify a true statement on the function f(x)=14x4−23x3−32x2+2 on (−2;4).The function f has a local maximum at the point x=0.The function f has a local minimum at the point x=0.The global maximum of f on this interval is at x=0.The global minimum of f on this interval is at x=0.
9000145406 Level: CIdentify a true statement on the function f(x)=x3−12x+20 on (−3;4).The global minimum of f on this interval is at x=2.The global maximum of f on this interval is at x=2.The function f has a local minimum at the point x=−2.The global minimum of f on this interval is at the point x=−2.
9000145407 Level: CIdentify a true statement on the function f(x)=x4−8x3+22x2−24x+12.The global minimum of f on R is at x=1 and x=3.The global maximum of f on R is at x=2.The local minima of f are at x=1 and x=2.The local maximum of f is at x=3.