Problem

$1$ Express $\dfrac {x^{2}} {\left(x+1\right)\left(x^{2}-16\right)}$ in partial fractions.
$2$ Given polynomial $P\left(x\right)=-x^{3}+8x^{2}-21x+18$
$a\right)$ Show that $\left(x-3\right)$ is a factor of polynomial $P\left(x\right)=-x^{3}+8x^{2}-21x+18$ by using
factor theorem.
$b\right)$ Factorize P(x)completely by using long division and find all the zeroes.
$c\right)$ Hence, express $\dfrac {3x-2} {P\left(x\right)}$ in partial fractions.
$3$ Express the following as a sum of partial fractions.
$8$
$a\right)$ $x^{2}+11x+28$
$5x$
$b\right)$ $\bar{\left(x^{2}+x+1\right)\left(x-2\right)} $

10th-13th grade

Other

Solution

Qanda teacher - anku1911

Give me some time to solve others as well

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$\left($ $\right)$
$3$ Express the following as a sum of partial fractions.
$8$
a) $\right)$ $\bar{x^{2}+11x+28} $
$b\right)$ $\dfrac {5x} {\left(x^{2}+x+1\right)x-2\right)}$

10th-13th grade

Other

$3$ Express the following as a sum of partial fractions.
a) $\dfrac {8} {x^{2}+11x+28}$
b) $\right)$ $\dfrac {5x} {\left(x^{2}+x+1\right)x-2\right)}$

10th-13th grade

Other