Question

A 2-column table with 2 rows. The labels for the columns and rows are blank. First column entries are 5 x squared, 10 x. Second column entries are negative 2 x, negative 4. Which factors can be multiplied together to make the trinomial 5x2 8x – 4? Select two options. (x 1) (2x 1) (x 2) (5x 1) (5x – 2).

Answer 1

The factors of the binomial 5x²+8x-4 whose multiplication will give us the trinomial are (5x-2)(x+2).

What are the factors whose product will give us the binomial 5x²+8x-4?

To solve the problem we will find the roots of the binomial 5x²+8x-4,

$5x^2+8x-4 \\\\\text{Finding the roots of 8}\\\\=5x^2+10x-2x-4\\\\=5x(x+2) -2(x+2)\\\\=(5x-2)(x+2)$

Hence, the factors of the binomial 5x²+8x-4 whose multiplication will give us the trinomial are (5x-2)(x+2).

Learn more about Binomial expression:

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