DP Mathematics HL Questionbank

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Directly related questions

• 18M.2.hl.TZ2.2: The polynomial \({x^4} + p{x^3} + q{x^2} + rx + 6\) is exactly divisible by each...
• 18M.1.hl.TZ1.1: Let f(x) = x4 + px3 + qx + 5 where p, q are constants. The remainder when f(x) is divided by (x...
• 16M.2.hl.TZ1.8: When \({x^2} + 4x - b\) is divided by \(x - a\) the remainder is 2. Given that...
• 17N.1.hl.TZ0.3b: Hence or otherwise, factorize \(q(x)\) as a product of linear factors.
• 17N.1.hl.TZ0.3a: Given that \(q(x)\) has a factor \((x - 4)\), find the value of \(k\).
• 12M.1.hl.TZ2.1: The same remainder is found when \(2{x^3} + k{x^2} + 6x + 32\) and...
• 12M.1.hl.TZ2.12B.a: Explain why, of the four roots of the equation \(f(x) = 0\) , two are real and two are complex.
• 13M.1.hl.TZ1.12a: Express \(4{x^2} - 4x + 5\) in the form \(a{(x - h)^2} + k\) where a, h, \(k \in \mathbb{Q}\).
• 13M.2.hl.TZ1.6: A polynomial \(p(x)\) with real coefficients is of degree five. The equation \(p(x) = 0\) has a...