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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)

User Bellash
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1 Answer

6 votes

Answer:


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

Explanation:

- Sum-product method

For a polynomial of the form
ax^2+bx+c

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


a*c = 10*3 = 30 and whose sum is
b = 11


10x^2 + 11x + 3


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

- Factor using the greatest common factors (GCF)


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

- Final Answer


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

User Macbeth
by
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