Question1 (ii)
Answer the following and justify
What will the quotient and remainder be on division of $a x^{2} + b x + c b y p x^{3} + q x 2 + q x^{2} + r x + 5, p \neq 0$ ?

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Solution

ii) Given that, divisor $p x^{3} + q x^{2} + r x + s, p \neq 0$
and dividend = $a x^{2} + b x + c$
we see that degree of divisor > degree of dividend
so, by division algorithm,
quotient = 0 and remainder = $a x^{2} + b x + c$
if degree of dividend < degree of divisor, then quotient will be zero and remainder as same as dividend

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Similar questions

Question1 (ii)
Answer the following and justify
What will the quotient and remainder be on division of $a x^{2} + b x + c$ by $p x^{3} + q x^{2} + r x + s, p \neq 0$ ?

Q. What will the quotient and remainder be on division of

a x^{2} + b x + c

p x^{3} + q x^{2} + r x + s, p \neq 0

Q. If a, b and c are the zeroes of a cubic polynomial

{px}^{3} + {qx}^{2} + rx + s and 0 > a > b > c,

then which of the following is true?

Q. If

p x^{3} + q x^{2} + r x + s = 0

is a reciprocal equation of second type, then

Q. If

a, b, c, d

are the roots of

x^{2} + p x^{3} + q x^{2} + r x + s = 0

, find the value of

\sum a^{4}

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Question1 (ii) Answer the following and justify What will the quotient and remainder be on division of ax2+bx+c by px3+qx2+qx2+rx+5,p≠0?

ii) Given that, divisor px3+qx2+rx+s,p≠0 and dividend = ax2+bx+c we see that degree of divisor > degree of dividend so, by division algorithm, quotient = 0 and remainder = ax2+bx+c if degree of dividend < degree of divisor, then quotient will be zero and remainder as same as dividend

Question1 (ii)
Answer the following and justify
What will the quotient and remainder be on division of $a x^{2} + b x + c b y p x^{3} + q x 2 + q x^{2} + r x + 5, p \neq 0$ ?