Q. 1 B5.0( 1 Vote )
Find the quotient and remainder using synthetic division.
(3x3 – 2x2 + 7x – 5) ÷ ( x + 3)
Answer :
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.
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