Question

The polynomial 3x2 – 10x + 8 has a factor of 3x – 4. What is the other factor of 3x2 – 10x + 8?

Answer 1

Hello,

$3x^2-10x+8\\ =3x^2-6x-4x+8\\ =3x(x-2)-4(x-2)\\ =(x-2)(3x-4)$

Answer A.

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Answer 2

Answer: The correct option is 1, i.e., x-2.

Explanation:

The given polynomial is,

$P(x)=3x^2-10x+8$

Since the degree of polynomial is 2, it means the polynomial has two factors.

The term -10x is written as (-6x-4x), because the sum of -6 and -4 is -10 which is the coefficient of x and the product of -6 and -4 is 24 which is a constant term.

Use grouping method to find the factors.

$P(x)=3x^2-6x-4x+8$

$P(x)=3x(x-2)-4(x-2)$

$P(x)=(x-2)(3x-4)$

One factor (3x-4) is given it means the another factor is (x-2)

Therefore the second factor is (x-2) and the correct option is 1.