Find the quotient and the remainder.5x3 - 7x2 + 7x - 8 divided by 5x - 2

A. x2 - x + 1; remainder 6
B. x2 - x + 1; remainder 10
C. x2 - x + 1; remainder -6
D. x2 + x -1; remainder -6


Answer: C

Mathematics

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Provide an appropriate response.Examine the discriminant and find the roots of the equation, rounding to the nearest hundredth if necessary: 12 + 4x - x2 = 0

A. x = -2, 6 B. x = 2.42, -0.42 C. x = 2 + 2.83i, 2 - 2.83i D. x = 2, -6

Mathematics

Calculus can be used to find the slope of the line tangent to a curve. The slope of the tangent to the curve  at  is f'(a). Use f'(x) to find the slope of the tangent to  at the given value of x.f'(x) = 6x3 - 2x2 + 5x - 19 at x = -2

A. -69 B. -85 C. -75 D. 85

Mathematics

Solve.- x -  = (x + 4)

A. x = 
B. x = - 
C. x = 
D. x = - 

Mathematics

Give all possible rational zeros for the polynomial.f(x) = 2x3 - 5x2 + 7x - 23

A. ±1, ±2, ±23, ± 
B. ±1, ± , ±2, ± 
C. ±1, ±2, ±23
D. ±1, ±23, ± , ± 

Mathematics