If the expression `a x^4+b x^3-x^2+2x+3` has remainder `4x+3` when divided by `x^2+x-2,` find the value of `aa n dbdot`

Explanation

To solve the problem, we need to find the values of \( a \) and \( b \) such that the polynomial \( ax^4 + bx^3 - x^2 + 2x + 3 \) has a remainder of \( 4x + 3 \) when divided by \( x^2 + x - 2 \).

### Step 1: Set up the equation
We know that when a polynomial \( P(x) \) is divided by \( D(x) \), it can be expressed as:
\[ P(x) = D(x) \cdot Q(x) + R(x) \]
where \( R(x) \) is the remainder. Here, \( P(x) = ax^4 + bx^3 - x^2 + 2x + 3 \), \( D(x) = x^2 + x - 2 \), and \( R(x) = 4x + 3 \).
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