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3 years ago

List all like terms included in each of the expressions given below. A) 6 x + 5 + 12 x - 6

Mathematics

1 answer:

Lady_Fox [76]3 years ago

7 0

Multiplication, addition, subtraction

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Factorise fully 12x³ - 30x²

MariettaO [177]

Answer:

6x² (2x - 5)

Step-by-step explanation:

12x³ - 30x²

= 6x² (2x - 5)

5 0

3 years ago

Alec is doing a test of 50 questions. He gets 2 marks for every question that is correct, but loses 1 mark for every question th

slega [8]

Alec got 33 and a half questions correctly because he got one mark on the 34th Question

Step-by-step explanation:

50×2=100

100-67=33 and a half

4 0

3 years ago

In a museum, the ratio of adults to children is 15 to 9. If there are 96 people in the museum, how many children are there?

s2008m [1.1K]

There would be 36 children

5 0

3 years ago

What is the quotient of (x cubed 3 x squared minus 4 x minus 12) divided by (x squared 5 x 6)? x 2 x – 2 x – 8 x 8

snow_tiger [21]

The quotient of the given expression is x-2. The correct option is the second option- x – 2

<h3>Simplification of fractions </h3>

From the question, we are to determine the quotient

The given expression is

$\frac{x^{3}+3x^{2} -4x-12 }{x^{2} +5x+6}$

The numerator can be expressed as

$(x-2)(x^{2} +5x+6)$

Then, the fraction becomes

$\frac{x^{3}+3x^{2} -4x-12 }{x^{2} +5x+6}$ = $\frac{(x-2)(x^{2} +5x+6)}{x^{2} +5x+6}$

Simplifying

$\frac{(x-2)(x^{2} +5x+6)}{x^{2} +5x+6} = x-2$

Hence, the quotient of the given expression is x-2. The correct option is the second option- x – 2

Learn more on Simplification of fractions here: brainly.com/question/26496816

Here is the complete and correct question:

What is the quotient of (x cubed + 3 x squared minus 4 x minus 12') divided by (x squared + 5 x + 6)? x + 2 x – 2 x – 8 x + 8

#SPJ4

8 0

2 years ago

SHOW YOUR WORK!! Identify the simplest polynomial function having integer coefficients with the given zeros: 3i, −1, 2

Ulleksa [173]

Answer:

$p(x)=x^4-x^3+7x^2-9x-18$

Step-by-step explanation:

The given polynomial has roots 3i, −1, 2

Since $3i$ is a root $-3i$ is also a root.

The factored form of this polynomial is $P(x)=(x-3i)(x+3i)(x+1)(x-2)$

We need to expand to get:

$p(x)=(x^2-(3i)^2)(x^2-x-2)$

This becomes $p(x)=(x^2+9)(x^2-x-2)$

We expand further to get:

$p(x)=x^4-x^3+7x^2-9x-18$

3 0

4 years ago