Complete the factorization of 3x2 – 5x 2. which two factors can be multiplied together to make this trinomial?

Mathematics

1 answer:

EastWind [94]2 years ago

7 0

The two factors multiplied together to make a trinomial is (x-1)(3x-2).

Given equation is 3x²-5x+2.

An algebraic equation which of the second degree in x is known as quadratic equation. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

In the given equation,

Multiply the first coefficient 3 with the last coefficient 2 so we get 2×3=6

Use any two numbers which on multiply give 6 and on adding or subtracting give -5.

Such two numbers are -2 and -3

On multiplying, (-3)×(-2)=6

On Adding, -3-2=-5

So, break -5x into -3x and -2x and we get

3x²-3x-2x+2

Taking out 3x common from the first two terms and -2 from the last two terms as

3x(x-1)-2(x-1)

Taking out the common term (x-1) as common and get

(x-1)(3x-2)

Hence, the two factors of the equation 3x²-5x+2 that can be multiplied together to make this trinomial is (x-1)(3x-2).

Learn more about factorization from here brainly.com/question/22673662

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there are 60 students studying sciences (biology chemistry and physics) 7 study biology, chemistry and physics. 12 study biology

Yanka [14]

Step-by-step explanation:

Draw a three-ring Venn diagram.

7 students study all three subjects, where the three circles overlap.

12 students study biology and chemistry, which includes the 7 who also study physics. So there are 5 who study biology and chemistry but not physics.

Similarly, 15 students study biology and physics, which includes the 7 who also study chemistry. So there are 8 who study biology and physics but not chemistry.

And, 20 students study chemistry and physics, which includes the 7 who also study biology. So there are 13 who study chemistry and physics but not biology.

35 students study biology, which includes the 5 who study chemistry, the 8 who study physics, and the 7 who study both chemistry and physics. Therefore, there are 15 students who study only biology.

Similarly, 32 students study physics, which includes the 8 who study biology, the 13 who study chemistry, and the 7 who study both biology and chemistry. Therefore, there are 4 students who study only physics.

Since there's a total of 60 students, there must be 8 students who study only chemistry.