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Determine the values of $a$ and $b$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
If $(a + bx)\sqrt{1 + 4x}$, where $a$ and $b$ are constants, is written out in ascending powers of $x$, the coefficients of $x$ and $x^2$ are 3 and $-6$ respectively.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State $1+2x$ or imply it as the opening terms in the expansion of $\sqrt{1+4x}$” …
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