Factor the polynomial completely. If a polynomial cannot be factored, state that it is irreducible.49x2 - 70x + 25 - 16y2
A. (7x + 5 + 4y)(7x + 5 - 4y)
B. (7x - 5 + 4y)(7x - 5 - 4y)
C. irreducible
D. (7x + 5 + 4y)(7x - 5 - 4y)
Answer: B
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Convert the constraints into linear equations by using slack variables.Maximize z = 2x1 + 8x2Subject to: x1 + 6x2 ? 15 7x1 + 5x2 ? 25 x1 ? 0, x2 ? 0
A. x1 + 6x2 = s1 + 15 7x1 + 5x2 = s2 + 25 B. x1 + 6x2 + s1 ? 15 7x1 + 5x2 + s2 ? 25 C. x1 + 6x2 + s1 = 15 7x1 + 5x2 + s2 = 25 D. x1 + 6x2 + s1 ? 15 7x1 + 5x2 + s2 ? 25
Find all rational zeros of f. Then (if necessary) use the depressed equation to find all roots of the equation f(x) = 0.f(x) = x5 - 10x4 + 26x3 + 10x2 - 87x + 60
A. {0, 1, 4, 5, 
}
B. {-5, -4, -1, -
, 
}
C. {1, 4, 5, -
, 
}
D. {-5, -4, 1, -
, 
}
Factor the sum or difference of cubes. d3 + 27
A. (d + 3)(d2 - 3d - 9) B. (d + 3)(d2 + 9) C. (d + 3)(d2 + 3d + 9) D. (d + 3)(d2 - 3d + 9)
Solve the logarithmic equation.log9 (x2 - 8x) = 1
A. 1 B. 9, -1 C. -9, 1 D. 9