Precalculus review

Front

Simplify: sin²θ + cos²θ

Back

1 (Pythagorean Identity)

Front

What is the factored form of a polynomial with roots at x=5, x=-4, and a double root at x=2?

Back

y = k(x - 5)(x + 4)(x - 2)², where k is a constant.

Front

Simplify: 1 - sin²θ

Back

cos²θ (Pythagorean Identity)

Front

What is the standard form of a polynomial with roots at x=8 and x=7i?

Back

y = x³ - 8x² + 49x - 392.

Front

Simplify: tan²θ + 1

Back

sec²θ (Pythagorean Identity)

Front

What is the derivative of sin(x)?

Back

cos(x) (Basic Derivative Rule)

Front

What is the derivative of cos(x)?

Back

-sin(x) (Basic Derivative Rule)

Front

What is the integral of 1/x?

Back

ln|x| + C (Basic Integral Rule)

Front

What is the quadratic formula?

Back

x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}} (Solving Quadratic Equations)

Front

What is the sum of the roots of the quadratic equation ax² + bx + c = 0?

Back

-\frac{b}{a} (Vieta's Formulas)