#### Question

Find ‘a‘ if the two polynomials ax^{3} + 3x^{2} – 9 and 2x^{3} + 4x + a, leave the same remainder when divided by x + 3.

#### Solution

`x+3=0` ⇒ `x=-3`

Since, the given polynomials leave the same remainder when dividend by (x-3),

value of polynomial `ax^3+3x^2-9` at x=-3 is sae as value of polynomial `2x^3+4x+a at x=-3`

⇒ `a(-3)^3+3(-3)^2-9=2(-3)^3+4(-3)++a`

⇒`-27a+27-9=-54-12+a`

⇒`-27a+18=-66+a`

⇒`28a=84`

⇒`a=84/28`

⇒a=3

Is there an error in this question or solution?

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Solution Find ‘A‘ If the Two Polynomials Ax3 + 3x2 – 9 and 2x3 + 4x + A, Leave the Same Remainder When Divided by X + 3. Concept: Remainder Theorem.

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