Select all of the following equation(s) that are quadratic in form.

a) x4 – 6x2 – 27 = 0

b) 3x4 = 2x

c) 2(x + 5)4 + 2x2 + 5 = 0

d) 6(2x + 4)2 = (2x + 4) + 2

e) 6x4 = -x2 + 5

f) 8x4 + 2x2 – 4x = 0

An equation that is quadratic in form can be written in the form au2+bu+c=0 where u represents an algebraic expression. In each example, doubling the exponent of the middle term equals the exponent on the leading term.

What is quadratic standard form?

The quadratic function f(x) = a(x - h)2 + k, a not equal to zero, is said to be in standard form. If a is positive, the graph opens upward, and if a is negative, then it opens downward. The line of symmetry is the vertical line x = h, and the vertex is the point (h,k).

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Select all of the following equation(s) that are quadratic in form.a) x4 – 6x2 – 27 = 0b) 3x4 = 2xc) 2(x + 5)4 + 2x2 + 5 = 0d) 6(2x + 4)2 = (2x + 4) + 2e) 6x4 = -x2 + 5f) 8x4 + 2x2 – 4x = 0

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What is quadratic standard form?

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Select all of the following equation(s) that are quadratic in form.

a) x4 – 6x2 – 27 = 0

b) 3x4 = 2x

c) 2(x + 5)4 + 2x2 + 5 = 0

d) 6(2x + 4)2 = (2x + 4) + 2

e) 6x4 = -x2 + 5

f) 8x4 + 2x2 – 4x = 0