Complete the factorization of 3x^2 – 10x + 8. 3x^2 – 10x + 8 = (x – _ )( _ x – 4)

Mathematics

2 answers:

Maslowich3 years ago

6 0

Answer: The complete factorization of the given expression is $(x-2)(3x-4).$

Step-by-step explanation: We are given to complete the factorization of the following quadratic expression :

$E=3x^2-10x+8~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To factorize the given expression, we need two integers with sum -10 and product 34. Those two integers are -6 and -4.

The factorization of expression (i) is as follows :

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

Thus, the complete factorization of the given expression is $(x-2)(3x-4).$

zlopas [31]3 years ago

4 0

You are looking for

x × ? = 3x^2

and

-4 × ? = 8

The first one is x × 3x = 3x^2

second one is -4 × -2 = 8

So your factored expression is

(x - 2)(3x - 4)

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Practice

andrew11 [14]

Computing the ratio of raisins to ounces, it is found that due to the higher computed ratio, brand B advertises the greatest ratio of raisins per ounce.

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For brand A, there are 60 raisins in the 24-ounces box, thus the ratio is of $\frac{60}{24} = 2.5$ , that is, 2.5 raisins per ounce.
For brand B, there are 18 raisins in the 6-ounce box, 36 in the 12-ounce, and it follows this ratio, thus $\frac{36}{12} = \frac{18}{6} = 3$ , thus, 3 raisins per ounce.
For brand C, there are 20 raisins in the 10-ounce box, 30 in the 15-ounce, and so on, thus $\frac{20}{10} = \frac{30}{15} = 2$ , thus, 2 raisins per ounce.
Due to the higher computed ratio, brand B advertises the greatest ratio of raisins per ounce.