All categories

3 years ago

Factorise x squared + 4x + 3

Mathematics

1 answer:

olganol [36]3 years ago

8 0

<h3>Answer: (x+1)(x+3)</h3>

===================================================

Explanation:

Let's assume it factors into (x+a)(x+b)

The goal is to find the two numbers a and b.

FOIL out (x+a)(x+b) to get x^2+(a+b)x+ab

Note how a+b is the middle term and ab is the last term.

In the original expression, 4 is the middle term and 3 is the last term.

So we need to find two numbers that

add to 4
multiply to 3

There are two ways to multiply to 3 and they are

1 times 3 = 3
-1 times -3 = -3

But only the first way has the factors add to 4. So that means a = 1 and b = 3.

Therefore (x+a)(x+b) = (x+1)(x+3)

And x^2+4x+3 = (x+1)(x+3)

You might be interested in

The diameter of a circle is 15in. Find the circumference to the nearest tenth (urgent)

givi [52]

Answer:

I believe it is 47.1

7 0

4 years ago

Read 2 more answers

Kieron is using a quadratic function to find the length and width of a rectangle. He solves his function and finds that

Julli [10]

Answer:

Step-by-step explanation:

The correct value of w is 20 as the width of a rectangle must be positive. A quadratic function always has 2 zeroes and in a case like this the negative one is ignored.

5 0

2 years ago

Look at the information below. The sum of the measures of angle M and angle R is 90°. The measure of angle M is (5x + 10). The m

Degger [83]

Answer:

The second one makes the most sense

4 0

3 years ago

Read 2 more answers

An entrepreneur is considering the purchase of a coin-operated laundry. The current owner claims that over the past 5 years, the

Bond [772]

Answer:

a. Z-test of a population mean.

Step-by-step explanation:

The current owner claims that over the past 5 years, the average daily revenue was $675 with a standard deviation of $75.

This means that we have a large sample, which means that we can consider this to be the standard deviation for the population, which eliminates the t-test, leaving options a and c.

Population mean or proportion?

Mean, as a proportion is a value between 0 and 1, while average revenue may have lots of possible values. So the answer is given by option A.

6 0

3 years ago

Joyce baked a cake using 2 3/4 cups of brown sugar and 1 3/4 cups of powdered sugar. How many cups of sugar did she use in her c

BartSMP [9]

So she has used two kinds of sugar, brown and powdered.

She used $2 \frac{3}{4}$ cups of brown sugar and $1 \frac{3}{4}$ cups of powdered sugar: we need to add the two numbers:

$2 \frac{3}{4}$ + $1 \frac{3}{4}$ = 2+1+ $\frac{3}{4}+ \frac{3}{4}$ =3 $\frac{6}{4}=3+1+ \frac{2}{4} =4 \frac{2}{4}=4 \frac{1}{2}=4.5$

so the correct answer is 4.5

4 0

3 years ago

Factorise x squared + 4x + 3 ​

Factorise x squared + 4x + 3