Question

the coefficient of x in the product (2-3x)(5-2x)​

Answer 1

here is yoir process dear......

(2-3x) (5-2x)

= 10 -4x-15x-+6x²

= 10-19x +6x²

(so the coefficient of x is -19)

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Answer 2

The coefficient of x is - 19

Given :

The expression (2 - 3x)(5 - 2x)

To find :

The coefficient of x in (2 - 3x)(5 - 2x)

Concept :

Coefficients :

In a term of an algebraic expression the numerical factor of a term is called coefficients and any of the factors with the sign of the term is called coefficient of the product of the other factors

Solution :

Step 1 of 3 :

Write down the given expression

Here the given expression is (2 - 3x)(5 - 2x)

Step 2 of 3 :

Simplify the given expression

$\displaystyle \sf{(2 - 3x)(5 - 2x) }$

$\displaystyle \sf { = 2(5 - 2x) - 3x(5 - 2x) }$

$\displaystyle \sf { = 10- 4x - 15x + 6 {x}^{2} }$

$\displaystyle \sf { = 6 {x}^{2} - 19x + 10}$

Step 3 of 3 :

Find the coefficient of x in the expression

The term involving x is - 19x

We know that in a term of an algebraic expression the numerical factor of a term is called coefficients

Hence the coefficient of x in the expression is - 19

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