Question

is If the polynomial ax² + 4 x² + 3x -4 and
x3^ - 4x + a leave
the same
remainder
when divided by x-3. Find the
value of a​

Answer 1

Theory :-

As remainder theorem suggests, if p(x) is a polynomial divided by (x - a), the remainder left is p(a)

Solution :-

Since, the remainders are same.

So,

a(3)² + 4(3)² + 3(3) - 4 = (3)³ - 4(3) + a

or, 9a + 36 + 9 - 4 = 27 - 12 + a

or, 8a +45 - 4 = 15

or, 8a = 15 - 41

or, 8a = -26

or, a = (-13)

(8)

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