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which represents factorization of the trinomial 10x^2 + 11x + 3 ?

(5x+3)(2x+1)

(5x+1)(2x+3)

(5x+1)(3x+3)

(5x+2)(3x+1)

Sagot :

tot1466

Answer:

[tex](5x+3)(2x+1)[/tex]

Step-by-step explanation:

- Sum-product method

For a polynomial of the form [tex]ax^2+bx+c[/tex]

We rewrite the middle term as a sum of two terms whose product is

[tex]a*c = 10*3 = 30[/tex] and whose sum is [tex]b = 11[/tex]

[tex]10x^2 + 11x + 3[/tex]

[tex]10x^2 + 6x + 5x + 3 -- > (3*10 = 6*5), (6+5 = 11)[/tex]

- Factor using the greatest common factors (GCF)

[tex]2x(5x + 3) + 1(5x + 3)[/tex]

- Final Answer

[tex]= (5x+3)(2x+1)[/tex]

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