Question

If one factor of 5 + 8x - 4x^2 is (2x + 1) then the second factor is​

Answer 1

Answer:

(5-2x)

Step-by-step explanation:

using middle term spilit

5+10x-2x-4x^2

5(1+2)-2x(1+2)

(5-2x)(1+2x)

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Answer 2

Answer:

The second factor of the given equation is (5 - 2x).

Step-by-step explanation:

Given:

The given equation is $& 5 + 8x - 4x^{2}=0$ and the first factor is (2x + 1).

To find:

The factor of the given equation.

Step 1

Let the given equation be

$& 5 + 8x - 4x^{2}=0$

Multiply with -1

$&\Rightarrow 4x^{2} - 8x - 5 = 0$

Step 2

By simplifying the coefficient of x, then we get

$&\Rightarrow 4x^{2} - 10x + 2x - 5 = 0$

$&\Rightarrow 2x(2x - 5) + 1(2x - 5) = 0$

$&\Rightarrow(2x + 1)(2x - 5) = 0$

The factor is (2x-5) × (-1) = (5 - 2x).

Therefore, the second factor of the given equation is (5 - 2x).

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