HA2 1st Semester Final Review

Front

What is synthetic division?

Back

Synthetic division is a simplified method of dividing a polynomial by a linear binomial of the form (x - c). It is faster than long division and is used primarily for polynomials.

Front

Perform synthetic division on (2x^3 - 5x - 7) ÷ (x - 2). What is the result?

Back

The result is 2x^2 + 4x + 3 - 1/(x - 2).

Front

What is the cube root of a product?

Back

Front

Back

The answer is 12.

Front

What does it mean if the discriminant of a quadratic equation is positive?

Back

If the discriminant is positive, the quadratic equation has two distinct real solutions.

Front

What is the formula for the discriminant of a quadratic equation?

Back

The discriminant (D) is given by the formula D = b^2 - 4ac, where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0.

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Back

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that is common to the denominators of two or more fractions.

Front

Solve for x using the LCD: 1/x + 1/(x-2) = 5/2. What is the solution?

Back

The solution is x = 5/2.

Front

What is the quadratic formula?

Back