Question

the product of two polynomial is
x2 + 8x + 15 and one of them is x +5 then the other one is ______​

Answer 1

Answer:

2 + 8 +3

Step-by-step explanation:

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Answer 2

Answer:

$\boxed{\textbf{The other polynomial = (x+3)}}$

Step-by-step explanation:

$\text{The product of two polynomials is } x^2 + 8x + 15 \\\\ \text{one of the polynomials = x+5} \\ \text{other polynomial = ?} \\\\ \text{let the other polynomial be {\bf A}} \\\\ A(x+5)=x^2+8x+15 \\\\ to \ find \ A,let's \ factorise \ x^2+8x+15 \\\\ =>x^2+8x+15 \\ x^2+3x+5x+15\\x(x+3)+5(x+3)\\(x+3)(x+5) = A(x+5) \\\\ .'. \ A=(x+3) \\\\ the \ other \ polynomial=(x+3)$