If x-2 is a factor of px-a x3-b x2-x-6 and px when divided by x-2 leaves remainder 4 - prove that a-0 n b-2-

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Factorisation of a Polynomial

If x+2 is a f...

Question

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

Open in App

Solution

Suggest Corrections

Similar questions

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 =

If ax³+bx²+x-6 has a factor and leaves remainder 4when divided by x-2.Find the value of a and b.

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

(x + 2)

(x - 2)

a

b

The polynomial $a x^{3} + b x^{2} + x - 6$ has $(x + 2)$ as a factor and leaves a remainder $4$

when divided by $(x - 2)$ . Find $a$ and $b$ .

Join BYJU'S Learning Program