Term
3.1.1
How do you find the axis of symmetry? |
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Definition
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Term
3.1.2
What is the vertex form of a quadratic? |
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Definition
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Term
3.1.3
What is the vertex of y = 3(x - 4)^2 + 1? |
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Definition
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Term
3.1.4
How do you find the y-intercept? |
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Definition
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Term
3.1.5
What is the y-intercept of y = x^2 + 3x - 2? |
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Definition
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Term
3.2.1
If a binomial divides a polynomial with a remainder of zero, what does that mean? |
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Definition
| It means the binomial is a factor of the polynomial. |
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Term
3.2.2
If x = k is a zero of polynomial p(x), then what does p(k) = ? |
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Definition
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Term
3.2.3
Let f(x) = (x - k)q(x), what does f(x)/(x-k) equal? |
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Definition
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Term
3.2.4
Let f(x) = ax^2 + bx + c. Let f(k) = 0 and f(p) = 0. What does f(x) factor to? |
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Definition
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Term
3.2.5
Let f(k) = p. Find the remainder of f(x) = ax^2 + bx + c. |
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Definition
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Term
3.3.1
If x - k is a factor of the polynomial q(x), what does q(k) equal? |
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Definition
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Term
3.3.2
If f(x) has three zeros, it has 3 factors.
True/False/Not enough information |
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Definition
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Term
3.3.3
Let f(x) = 6x^4 + 7x^3 - 12x^2 - 3x + 2. Let f(1) = 0, f(-2) = 0, f(1/3) = 0, f(-1/2) = 0.
Factor f(x). |
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Definition
| (x - 1)(x + 2)(x - 1/3)(x + 1/2) |
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Term
3.3.4
Let f(x) = ax^5 + bx^2 + cx + d. Given f(x) has one complex zero, then it must have 2 complex zeros.
True/False/Not enough information |
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Definition
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Term
3.3.5
Given polynomial f(x):
Applying Decartes' rule of signs produces 3 sign changes of f(x) and 1 sign change of f(-x), how many possible positive and negative zeros can it have? |
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Definition
Positive zeros: 3 or 1
Negative zeros: 1 |
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Term
3.4.1
What would the end behavior of f(x) = ax^k1 + bx^k2 + cx^k3 + ... + d be if a > 0 and k1 is even? |
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Definition
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Term
3.4.2
What would the end behavior of f(x) = ax^k1 + bx^k2 + cx^k3 + ... + d be if a > 0 and k1 is odd? |
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Definition
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Term
3.4.3
What would the end behavior of f(x) = ax^k1 + bx^k2 + cx^k3 + ... + d be if a < 0 and k1 is odd? |
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Definition
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Term
3.4.4
What would the end behavior of f(x) = ax^k1 + bx^k2 + cx^k3 + ... + d be if a < 0 and k1 is even? |
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Definition
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Term
3.4.5
If (x - k)^2 and (x - p)^3 is a factor of polynomial f(x) = ax^5 + bx^3 + cx^2 + dx + e, where does the bounce occur? |
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Definition
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Term
3.5.1
If f(x) = p(x)/q(x), how do you find the zeros? |
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Definition
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Term
3.5.2
Let f(x) = p(x)/q(x). How do you find the y-intercept? |
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Definition
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Term
3.5.3
Let f(x) = p(x)/q(x), how do you find the vertical asymptotes? |
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Definition
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Term
3.5.4
Let f(x) = p(x)/q(x). Let the degree of p(x) > q(x), what is the horizontal asymptote? |
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Definition
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Term
3.5.5
Let f(x) = p(x)/q(x). Assume x + k is a factor of p(x) and q(x). Where is the hole? |
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Definition
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