Year 11 Maths - Specialist Algebra II

Polynomial identities

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Questions

Question 1

29277

Find $a$, $b$ and $c$ if $a{x^2} + \left( {b - 2} \right)x + c \equiv 2{x^2} + 5x - 3.$

Answer

$a = 2,{\rm{ }}b = 7,{\rm{ }}c = - 3$

Worked Solution

$$\begin{align}
&a x^{2}+(b-2) x+c \equiv 2 x^{2}+5 x-3\\
&\text{Equating coefficients}\\
&a=2, b-2=5, c=-3 \\
&\therefore a=2, b=7 \text { and } c=-3
\end{align}$$

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