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3 years ago

Which is the completely factored form of 4x3 + 10x2 – 6x?

Mathematics

2 answers:

Nastasia [14]3 years ago

8 0

Answer:

Step-by-step explanation:

Lubov Fominskaja [6]3 years ago

5 0

Answer:

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

Step-by-step explanation:

Given

4x³ + 10x² - 6x ( factor out 2x from each term )

= 2x(2x² + 5x - 3)

To factorise the quadratic

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 3 = - 6 and sum = + 5

The factors are + 6 and - 1

Use these factors to split the x- term

2x² + 6x - x - 3 ( factor the first/second and third/fourth terms )

2x(x + 3) - 1(x + 3) ← factor out (x + 3) from each term

(x + 3)(2x - 1), hence

2x² + 5x - 3 = (x + 3)(2x - 1)

Hence

4x³ + 10x² - 6x = 2x(x + 3)(2x - 1)

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3 years ago

The table shows the elevations of four cities in the Netherlands which city in the Netherlands is below sea level

Vitek1552 [10]

Answer:

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Step-by-step explanation:

it's in the negatives

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3 years ago

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Complete the square than convert to vertex form. y=2x^2+8x-9

8_murik_8 [283]

$y=2x^2+8x-9\\D=b^2-4ac\\D=64-4(2)(-9)\\D=64+72 > 0$

There are 2 roots so the only way to complete the square is,

$y=2x^2+8x-9\\y=2[(x^2+4x)]-9\\y=2[(x^2+4x+4)-4]-9\\y=2[(x+2)^2-4]-9\\y=2(x+2)^2-8-9\\y=2(x+2)^2-17$

Just factor 2 out of 2x^2+8x (just ignore the -9) then find the number that will make the terms be able to complete the square.

then complete the square and multiply 2 inside the brackets.

subtraction as you already get the vertex form and know how to complete the square.

Vertex Form: $y=2(x+2)^2-17$

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Product of 289 and 7

lyudmila [28]

Product means that u have to multiply the values so it will be 289*7 so it will be 2023

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