DP Mathematics HL Questionbank

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Directly related questions

• 16M.1.hl.TZ2.12e: Using the values for $b$ and $c$ obtained in part (d)(ii), find the imaginary part of...
• 16M.1.hl.TZ2.12d: (i)     Given that $\alpha  = w + {w^2} + {w^4}$, show that...
• 16M.2.hl.TZ1.9b: Find the value of $c$ and the value of $d$.
• 16M.2.hl.TZ1.9a: Write down the other two roots in terms of $c$ and $d$.
• 16M.1.hl.TZ1.12e: Hence solve $4{\cos ^3}\theta  - 2{\cos ^2}\theta  - 3\cos \theta  + 1 = 0$ for...
• 16M.1.hl.TZ1.12d: (i)     Show that $zz{\text{*}} = 1$. (ii)     Write down the binomial expansion of...
• 16M.1.hl.TZ1.12c: Find an expression in terms of $\theta$ for...
• 09M.1.hl.TZ2.7: Given that ${z_1} = 2$ and ${z_2} = 1 + \sqrt 3 {\text{i}}$ are roots of the cubic equation...
• 10N.2.hl.TZ0.6: Consider the polynomial $p(x) = {x^4} + a{x^3} + b{x^2} + cx + d$, where a, b, c, d...
• 09N.2.hl.TZ0.7: (a) the other two roots; (b) $a$ , $b$ and $c$ .
• 09M.2.hl.TZ1.2: (a)     Show that the complex number i is a root of the...
• 14M.2.hl.TZ1.1: One root of the equation ${x^2} + ax + b = 0$ is $2 + 3{\text{i}}$ where...
• 14M.2.hl.TZ2.13e: Given that $u$ and $v$ are roots of the equation ${z^4} + b{z^3} + c{z^2} + dz + e = 0$,...