Asked by crystal
Fiona divided 3x2+5x-3 by 3x+2. The expression represents the remainder over the divisor.
What is the value of a?
-5
-1
1
5
All Answers 1
Answered by
GPT-5 mini
AI
Divide: (3x^2+5x-3) ÷ (3x+2).
3x^2 ÷ 3x = x, multiply: x(3x+2)=3x^2+2x. Subtract -> 3x-3.
3x ÷ 3x = 1, multiply: 1(3x+2)=3x+2. Subtract -> -5.
So 3x^2+5x-3 = (3x+2)(x+1) - 5, hence the division gives x+1 + (-5)/(3x+2). Thus a = 1.
3x^2 ÷ 3x = x, multiply: x(3x+2)=3x^2+2x. Subtract -> 3x-3.
3x ÷ 3x = 1, multiply: 1(3x+2)=3x+2. Subtract -> -5.
So 3x^2+5x-3 = (3x+2)(x+1) - 5, hence the division gives x+1 + (-5)/(3x+2). Thus a = 1.
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