Math 3 wk 2

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Which expression is a binomial?

Back

A binomial is a polynomial with exactly two terms. Example: x - 9.

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What is the quadratic formula?

Back

The quadratic formula is used to find the solutions of a quadratic equation ax² + bx + c = 0. It is given by x = (-b ± √(b² - 4ac)) / (2a).

Front

What are the solutions of the equation 36x² - 12x + 1 = 4?

Back

The solutions are x = -1/6 and x = 1/2.

Front

What is a polynomial?

Back

A polynomial is an expression consisting of variables raised to non-negative integer powers and coefficients. Example: 2a² - 3a + 5.

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How do you determine the number of terms in a polynomial?

Back

Count the distinct terms in the polynomial. Example: In (2a - 5)(a² - 1), there are 4 terms after expansion.

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What is the standard form of a quadratic equation?

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The standard form is ax² + bx + c = 0, where a, b, and c are constants.

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What is the discriminant in a quadratic equation?

Back

The discriminant is b² - 4ac and determines the nature of the roots. If it's positive, there are two real solutions; if zero, one real solution; if negative, no real solutions.

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What is a binomial expansion?

Back

Binomial expansion is the expansion of expressions raised to a power using the binomial theorem. Example: (a + b)² = a² + 2ab + b².

Front

What is the vertex form of a quadratic function?

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The vertex form is y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

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What is factoring in algebra?

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Factoring is the process of breaking down an expression into simpler components (factors) that, when multiplied together, give the original expression.