Question

coefficient of x in (x+1)(x+2a)​

Answer 1

Step-by-step explanation:

We solve the given product (x−1)(1−2x) as follows:

(x−1)(1−2x)=(x×1)+[x×(−2x)]+(−1×1)+[(−1)×(−2x)]

=x−2x

2

−1+2x

=−2x

2

+3x−1

From the above calculations, we observe that the coefficient of x

2

is −2 and coefficient of x is 3.

Hence, the coefficient of x is 3.

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Answer 2

Answer:

The coefficient of x is 2a +1

Step-by-step explanation:

Here we have been given to find the value of the coefficient of x here in the following given expression. Firstly we will solve the above-given expression by opening the brackets and finding out the quadratic polynomial. After it, we will find the coefficient of x as below:

(x+1)(x+2a)​

⇒ x(x+2a) + 1(x+2a)

⇒$x^{2} + 2ax +x +2a$

⇒ $x^{2} + (2a+1)x +2a$

Therefore here we can see that the coefficient of x is 2a + 1