Given p(x)=x^4+ax^3+bx^2+cx+d,such that x=0 is the only real root of p'(x)=0.If p(-1)<p(1),then in the interval [-1,1],which is maximum and minimum of p(-1) and p(1)?:
a)p(-1) is minimum and p(1) is maximum.
b)p(-1) is not minimum and p(1) is maximum.
c)neither p(-1) is minimum nor p(1) is maximum.
How many real roots does f(x) = x^3+5x+1 have? x^3 = odd polynomial = at least 1 real root Can I follow Descartes' rule for this? No sign change, so there aren't any positive zeros. when I sub in -x for x (-x)^3+ 5(-x) + 1 =
Determine the value(s) of k for which x^2+(k-2)x-2k=0 has equal and real roots. a x^2 + bx + c = 0 has two different roots if the discriminant D defined as: D = b^2 - 4 a c does not equal zero. If D = 0 then there is one root.
I HAVE THESE ANSWERS FOR THE PROBLEMS. COULD YOU DOUBLE CHECK PLEASE, THIS IS A PRACTICE QUIZ WHICH ISN'T A GRADE IT JUST HELPS ME GET READY FOR THE TEST. 1) a 2) b 3) d 4) a 5) d 1. Solve x^3 + 6x^2 + 13x + 10 = 0. a) –2 + 2i,
1. Which of these numbers can be classified as both real and rational? ½ -1.016879413894 Square root of 5 0.89089908999 2. Which is both a real number and an integer? Square root of 7 0.15 -15 1/3 3. Which is an example of an
Could you please solve so I can double check my answers for the practice quiz? Thank You!! 1. Solve x^3 + 6x^2 + 13x + 10 = 0. a) –2 + 2i, –2 –2i, –2 b) 2 + i, 2 – i, –2 c) –2 + i, –2 – i, –2 d) 2 + 2i, 2 –
Use the discriminant to determine the number of real roots the equation has. 3x2 – 5x + 1 =0 A. One real root (a double root) B. Two distinct real roots C. Three real roots D. None (two imaginary roots)
Use the discriminant to determine the number of real roots the equation has. 7x2 + 3x + 1 =0 A. One real root (a double root) B. Two distinct real roots C. Three real roots D. None (two imaginary roots)
which of these numbers can be classified as both rational and real? a. 1/2 b. -1.016879413894 c. square root of 5 d. 0.89089908999 which is both a real number and an integer? a. square root of 7 b. 0.15 c. -15 d. 1/3 what is an
Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (Enter your answers using interval notation. If the answer cannot be expressed as an interval, enter EMPTY or ∅.) f(x) = (5 −