Samuel found the difference of the polynomials. (15x2 + 11y2 + 8x) - (7x2 + 5y2 + 2x) = ?x2 - 6y2 + 6x. What value is missing from his solution?
Solution:
The terms of polynomials are defined as the parts of the expression that are separated by the operators "+" or "-".
Like terms in polynomials are those terms which have the same variable and same power.
Terms that have different variables and different powers are known as unlike terms.
Given, the equation
(15x2 + 11y2 + 8x) - (7x2 + 5y2 + 2x) = ?x2 - 6y2 + 6x
We need to find the coefficient of x2.
By multiplying the negative sign inside the brackets
15x2 - 7x2 + 11y2 - 5y2 + 8x - 2x = ?x2 - 6y2 - 6x
On further simplification
8x2 + 6y2 + 6x = ?x2 - 6y2 - 6x
Therefore, the value missing is a term like 8x2. The missing value is coefficient 8.
Samuel found the difference of the polynomials. (15x2 + 11y2 + 8x) - (7x2 + 5y2 + 2x) = ?x2 - 6y2 + 6x. What value is missing from his solution?
Summary:
Samuel found the difference of the polynomials. (15x2 + 11y2 + 8x) - (7x2 + 5y2 + 2x) = ?x2 - 6y2 + 6x.The missing value is coefficient 8.
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