If a polynomial as four terms 3x^3+5x+6x^2+10 which factoring method can be considered?
A) perfect square trinomial
B) difference of squares
C) factor by grouping
D) sum of cubes

Respuesta :

Setor9
The correct answer is C. Factor by GROUPING

The factoring method which can be considered for such a cubic tetranomial expression is factor by grouping sum of cubes. Hence, the correct option is C.

What is a polynomial?

They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.

If a polynomial as four terms are; 3x^3+5x+6x^2+10

Then we need to find that which factoring method can be considered.

The factoring method that can be considered for the polynomial which follows from the task content that the order of the Polynomial is 3 and the polynomial is a tetranomial as it contains 4 terms.

On the given information, since 3x³ is not a perfect cube, it follows that the best factorisation method for such a polynomial is; factor by grouping sum of cubes.

Hence, the correct option is C.

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