7
lesson pretestMultiple Choice

Pretest

Question 7 • Math 3

Which equation is quadratic in form?

Answer
A
4 times open paren x minus 2 close paren squared plus 3 x minus 2 plus 1 is equal to 0
B
9 x to the 16th power plus 6 x to the 4th power plus 1 is equal to 0
C
10 x to the 8th power plus 7 x to the 4th power plus 1 is equal to 0
D
8 x to the 5th power plus 4 x cubed plus 1 is equal to 0

Explanation

An equation is quadratic in form when its powers can be rewritten as a quadratic in one expression, such as letting u = x⁴ and getting au² + bu + c = 0. In A, x⁸ = (x⁴)², so the equation becomes 10u² + 7u + 1 = 0. The other choices do not have powers that form a quadratic in a single power of x.

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