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Addition and Subtraction of a Matrix

47 If p(x)=ax...

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47 If p(x)=ax3-bx2-3x+18 is divided by x+1 and x+2 then the remainder are 12 and -20 respectively. The values of a and b are respectively ?

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p (x) = a x^{3} + 3 x - 13

q (x) = 2 x^{3} - 5 x + 1

x + 2

remainder is same in each case. find the value of

a

a x^{3} + b x^{2} + x - 6

leves a remainder 0 and 4 when divided by x + 2 and (x - 2) respectively, find the values of a and b.

If (x + 2) is a factor of p(x) = $a x^{3} + b x^{2} + x - 6$ and when p(x) is divided by (x – 2) the remainder is 4, then a + b =

2 x^{3} + 3 x^{2} + a x + b

(x - 2)

leaves the remainder

2

(x + 2)

leaves the remainder

- 2

, then the values of

a, b

are respectively

Q. If (x + 2) is a factor of p(x) = ax³ + bx² + x − 6 and p(x) when divided by (x − 2) leaves a remainder 4, prove that a = 0 and b = 2.

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