All categories

3 years ago

Factor completely x2+ 9x + 20

Mathematics

1 answer:

Sunny_sXe [5.5K]3 years ago

4 0

Answer:

(x + 5) (x + 4)

Step-by-step explanation:

Simplify the following:

x^2 + 9 x + 20

The factors of 20 that sum to 9 are 5 and 4. So, x^2 + 9 x + 20 = (x + 5) (x + 4):

Answer: |

| (x + 5) (x + 4)

You might be interested in

Evan graphed a cubic function, f(x) = ax3 + bx2 + cx + d, and determined the roots of f(x) to be +1 and 2. What is the value of

Lana71 [14]

The value of $b$ in the <em>cubic</em> polynomial is -4.

<h3>How to determine the coefficients of a cubic polynomial</h3>

After a quick analysis, we find that given <em>cubic</em> function is equivalent to the following equivalence:

$x^{3}+b\cdot x^{2}+c\cdot x + d = (x-1)^{2}\cdot (x-2)$

$x^{3}+b\cdot x^{2}+c\cdot x + d = (x^{2}-2\cdot x + 1)\cdot (x-2)$

$x^{3}+b\cdot x^{2}+c\cdot x + d = x^{3}-2\cdot x^{2}+x-2\cdot x^{2}+4\cdot x-2$

$x^{3}+b\cdot x^{2}+c\cdot x + d = x^{3}-4\cdot x^{2}+5\cdot x -2$

After a quick observation, we conclude that the value of $b$ in the <em>cubic</em> polynomial is -4. $\blacksquare$

To learn more on polynomials, we kindly invite to check this verified question: brainly.com/question/17822016

6 0

2 years ago

Dexter has a gift card for $20.00 to an electronics store. He also has a coupon for 25% off his entire purchase, so he will be p

svetlana [45]

Answer:

The linear equation that represent the situation is $x=20-0.75(10+2)$

The remaining balance on his gift card is $\$11$

Step-by-step explanation:

Let

x------> represents the remaining balance

we know that

The linear equation that represent the situation is equal to

$x=20-0.75(10+2)$

Solve

$x=20-0.75(12)$

$x=20-9$

$x=\$11$

3 0

2 years ago

Read 2 more answers

The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to the equation |x –

solniwko [45]

Answer:

Minimum temperature is 68.5 ° and maximum temperature is 76.5 °

Step-by-step explanation:

Given :

|x – 72.5| = 4.

When the Temperature of x is minimum So the Minimum temperature is

$|x - 72.5| = 4\\it\ can \ be \ written \ as \\72.5-x=4\\-x=4-72.5\\x=68.5$

When the Temperature of x is maximum So the Maximum Temperature is

$|x -72.5| = 4\\x-72.5=\ 4\\x=72.5+4\\x=76.5$

Therefore The minimum temperature is 68.5 ° and the maximum temperature is 76.5 °

8 0

3 years ago

Read 2 more answers

What is twelve divided by two fifths

salantis [7]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

PLEASE HELP AND DO NOT SEND A LINK IF YOU DO YOU WILL BE REPORTED

joja [24]

Answer:

<h3>Answer 3</h3>

$\to 5 \times \dfrac{3}{4} \\ \\ \to \dfrac{5 \times 3}{4} \\ \\ \to \dfrac{15}{4} \\ \\ \to \pmb{ 3 \dfrac{3}{4}}$

<h3>Answer 4 :</h3>

$\to 2 \times 1 \dfrac{1}{2} \\ \\ \to 2 \times\dfrac{3}{2} \\ \\ \to \dfrac{2 \times 3}{2} \\ \\ \to \dfrac{6}{2} \\ \\ \to \pmb{3}$

8 0

2 years ago

Read 2 more answers