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Division Algorithm for a Polynomial

Find the valu...

Question

Find the value of t, given that
$p (x) = x^{3} - t x^{2} + 5 x - 3,$
$g (x) = x^{2} - 2,$
$q (x) = x - 3,$
$r (x) = 7 x - 9$

Where,
$p (x)$ is the dividend,
$g (x)$ is the divisor,
$q (x)$ is the quotient, and
$r (x)$ is the remainder
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Solution

The correct option is A 3

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Similar questions

p (x) = x^{3} - t x^{2} + 5 x - 3,

g (x) = x^{2} - 2,

q (x) = x - 3,

r (x) = 7 x - 9

p (x)

g (x)

q (x)

r (x)

q (x) = \frac{p (x) - r (x)}{g (x)}

q (x) = \frac{p (x)}{g (x)} - r (x)

q (x) = p (x) - \frac{r (x)}{g (x)}

q (x) = p (x) + \frac{r (x)}{g (x)}

p (x)

g (x)

q (x)

r (x)

If dividend = $x^{4} + x^{3} - 2 x^{2} + x + 1$ and divisor = $(x - 1)$ , find the quotient, $q (x)$ and remainder $r (x)$ .

p (x) = x^{3} + 8 x^{2} - 7 x + 12

g (x) = x - 1

p (x)

g (x)

q (x)

r (x)

a

q (x)

b

r (x)

(a - b) = ?

q (x)

r (x)

f (x)

g (x)

p (x) = x^{6} + x^{4} - x^{2} - 1

g (x) = x^{3} - x^{2} + x - 1

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