Q. 25.0( 1 Vote )

# If the quotient o

Let p(x) = x4 + 10x3 + 35x2 + 50x + 29 be the dividend. Arranging p(x) according to the descending powers of x.

p(x) = x4 + 10x3 + 35x2 + 50x + 29

Divisor, q(x) = x + 4

To find out Zero of the divisor –

q(x) = 0

x + 4 = 0

x = – 4

zero of divisor is – 4.

And, p(x) = x4 + 10x3 + 35x2 + 50x + 29

Put zero for the first entry in the 2nd row. Quotient = x3 + 6x2 + 11x + 6

Hence, when p(x) is divided by (x + 4) the quotient is x3 + 6x2 + 11x + 6 and remainder is 5.

Comparing x3 + 6x2 + 11x + 6 with x3 ax2 + bx + 6 we get,

a = – 6 and b = 11.

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