Answer:
Which of the following statements does not describe the quadratic inequality [tex]9x^2-3x+12>0[/tex]?
A. It has an inequality symbol.
B. It contains a polynomial of degree 2.
C. It is a perfect square trinomial.
D. The numerical coefficient of the first term x² is not equal to 0.
Step-by-step explanation:
A. It has an inequality symbol.
- Yes, it has an inequality symbol. The symbol is greater than, if you read it from left to right. But when you read it from right to left, the the symbol would be less than.
B. It contains a polynomial of degree 2.
- Yes, it contains a polynomial of degree 2. When we say degree 2, it means the inequality has an exponent of 2, or sometimes call squared.
C. It is a perfect square trinomial.
- A trinomial is perfect square when the linear term is equal to twice the sum of the square roots of the first term and last term. The linear term is 3x, and the twice the sum of the square roots of the first term and last term is [tex]6x\sqrt{3}[/tex]. It is not equal. So, therefore, it is not a perfect square trinomial.
D. The numerical coefficient of the first term x² is not equal to 0.
- Yes, the numerical coefficient of the first term x² or quadratic term is not equal to 0. The numerical coefficient of the quadratic term is 9.
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