Cho tam thức bậc hai $$f\left(x\right)=ax^2+bx+c$$ với $$a>0;\ \Delta>0$$ . Chọn khẳng định đúng trong các khẳng định được cho dưới đây:

$$f\left(x\right)>0\ \forall x\in\left(-\infty;x_1\right)\cup\left(x_2;+\infty\right)$$ và $$f\left(x\right)

$$f\left(x\right)>0\ \forall x\in\left(x_1;x_2\right)$$ và $$f\left(x\right)

Xét dấu $$f\left(x\right)=-2x^2+3x+5$$ ta được:

$$f\left(x\right)>0\ \forall x\in\left(-1;\frac{5}{2}\right)$$

$$f\left(x\right)>0\ \forall x\in\left(-\infty;-1\right)$$

$$f\left(x\right)>0\ \forall x\in\left(-1;+\infty\right)$$

Cho tam thức bậc hai $$f\left(x\right)=ax^2+bx+c\ \ \left(a\ne0\right)$$ , mệnh đề nào sau đây là đúng?

Nếu $$\Delta=0$$ thì $$f\left(x\right)$$ luôn cùng dấu với hệ số a, với mọi $$x\ne\frac{-b}{2a}$$

Nếu $$\Delta>0$$ thì $$f\left(x\right)$$ luôn cùng dấu với hệ số a, với mọi $$x\in R$$

dau tam thuc bac 2

Authored by Ngọc Linh Phạm Thị

Mathematics

10th Grade

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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mọi x

không có x thỏa mãn

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KhÔng có x thỏa mãn

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Tam thức bậc hai là biểu thức có dạng:

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Trong các biểu thức sau, biểu thức nào là tam thức bậc hai?

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