Find the quotient

Let p(x) = 3x³ – 2x² + 7x – 5 be the dividend and arranging p(x) according to the descending powers of x.

Divisor, q(x) = x + 3

⇒ To find out Zero of the divisor –

q(x) = 0

x + 3 = 0

x = – 3

So, zero of divisor is – 3.

And, p(x) = 3x³ – 2x² + 7x – 5

Put zero for the first entry in the second row.

∴ Quotient = 3x² – 11x + 40

Hence, when p(x) is divided by (x – 1) the quotient is 3x² – 11x + 40 and remainder is – 125.