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 Polynomial 34 Flashcards |
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An algebraic expression is a combination of ___, ___, and ___ used for mathematical operations. |
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Numbers, letters (variables), and symbols |
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A polynomial consists of variables and coefficients where the exponent of each variable is a ___ integer. |
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Non-negative |
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The degree of a polynomial is determined by the ___ exponent on the variable. |
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Highest |
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What type of polynomial is represented by the expression 4x² + 5x + 6? |
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Trinomial |
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If p(x) = 3x² + 4x + 2, then the value of p(1) is ___ |
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9 |
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True or False: The polynomial x² - 4 has zeroes at x = 2 and x = -2. |
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True |
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If the polynomial p(x) = 2x³ - 3x² + 1, what is p(0)? |
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1 |
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The product of the zeroes of the quadratic polynomial ax² + bx + c is given by ___ |
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c/a |
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If k is a zero of the polynomial p(x) = 5x + 2, then k is equal to ___ |
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-2/5 |
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The graph of a linear polynomial intersects the x-axis at ___ point(s). |
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Exactly one |
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Fill in the blank: A cubic polynomial can have at most ___ zeroes. |
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3 |
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What is the general form of a quadratic polynomial? |
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ax² + bx + c |
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True or False: A quadratic polynomial can have no zeroes. |
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True For a quadratic polynomial ax2 + bx + c: Discriminant (D) = b2 – 4ac
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If one zero of the polynomial 2x² - 3x + k is the reciprocal of the other, then the value of k is ___ |
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2 |
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Fill in the blank: The shape of the graph of a quadratic polynomial opens upwards if the leading coefficient is ___ |
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Positive |
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For the polynomial p(x) = x³ - 4x, the zeroes are ___ |
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-2, 0, and 2 |
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The quadratic polynomial x² - 4 has zeroes at ___ |
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2 and -2 |
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