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3 years ago

12

How do I factorize a quadratic expression ?

1 answer:

Xelga [282]3 years ago

3 0

Answer:

Please check below the step-by-step explanation.

Step-by-step explanation:

Considering the quadratic expression

$ax^2+bx\:+\:c\:=0$

$a,\:b,\:and\:c\:can\:have\:any\:value,\:except\:that\:a\:can't\:be\:0.$

$To\:Factorise\:a\:Quadratic\:is\:to:$

" $find\:what\:to\:multiply\:to\:get\:the\:Quadratic$ "

For example, multiplying $(x + 3)$ and $(x - 2)$ together will bring $x^2+x-6$

i.e.

$\left(x+3\right)\left(x-2\right) = xx+x\left(-2\right)+3x+3\left(-2\right)$

$\mathrm{Apply\:minus-plus\:rules}$

$+\left(-a\right)=-a$

$\left(x+3\right)\left(x-2\right) = xx-2x+3x-3\cdot \:2$

$= x^2+x-6$

Therefore, $(x + 3)$ and $(x - 2)$ are factors of $x^2+x-6$

Keywords: factorize, quadratic expression

Learn more about quadratic expression from brainly.com/question/12182022

#learnwithBrainly

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Which of the numbers below could be terms in the sequence an=4n-7 A)29 B)21 C)20 D)28

natali 33 [55]

Answer:

A)29 and B) 21,

Step-by-step explanation:

First,in the sequence $a_n=4n-7$ , the parameter $n$ must to be a integer.

Second, we need to solve the equations by $n$ .

$n=(a_n+7)/4$

All the option in the problem represent an $a_n$

Then, we need to prove all number in the options, if the result is a integer number, this option can be part of the sequence.

For A)

$n=(29+7)/4=9\\$

For B)

$n=(21+7)/4=7\\$

For C)

$n=(20+7)/4=6.75\\$

For D)

$n=(28+7)/4=8.75\\$

Only A) and B) only A and B meet the requirement

4 0

2 years ago

Law of cosine find m<B a=11 b=12 c=17

Andrei [34K]

Cos (B) = (a^2 + c^2 -b^2) / (2 * a * c)
cos (B) = (11^2 +17^2 -12^2) / (2 * 11 * 17)
cos (B) = (121 + 289 -144) / (374)
cos (B) = 266 / 374
cos (B) = <span> <span> <span> 0.7112299465
Angle B = </span></span></span>44.665 degrees

3 0

3 years ago

Scott bought a 5lb bag of cookies at the bakery. He ate 2/5 of the bag and his sister ate 2/9 of the bag. What fraction of the b

satela [25.4K]

Answer: Fraction they both eat = $\dfrac{28}{45}$ .

Fraction of bag remains = $\dfrac{17}{45}$

Step-by-step explanation:

Given: Part of cookies eaten by Scott = $\dfrac25$

Part of cookies eaten by sister = $\dfrac{2}{9}$

Fraction they both eat = $\dfrac25+\dfrac29=\dfrac{9\times2+5\times2}{5\times9}$

$=\dfrac{18+10}{45}\\\\=\dfrac{28}{45}$

Fraction of the bag remain = $1-\dfrac{28}{45}=\dfrac{45-28}{45}=\dfrac{17}{45}$

[Taking fraction of whole bag =1]

Hence, Fraction they both eat = $\dfrac{28}{45}$ .

Fraction of bag remains = $\dfrac{17}{45}$

4 0

3 years ago

Jack is performing an experiment in a laboratory. The resulting rise in temperature, t(x), of the chemical under observation, ov

Scorpion4ik [409]

I'd say option D because you can just tell right off the bat that if x = 0, then f(x) = 43.75.

7 0

3 years ago

Read 2 more answers

The blue string is 0.98 meters long. The

Yuliya22 [10]

Answer:

22 centimeters

Step-by-step explanation:

<em>1. See how many centimeters are in a meter:</em>

There is 100 centimeters in one meter

<em>2. Multiply each number by 100 to convert the meters to centimeters </em>

0.98 x 100= 98

0.76 x 100 = 76

<em>3. Subtract to find the difference </em>

98 - 76 = 22

<u>Hence, the blue string is 22 centimeters longer than the yellow string.</u>

<u><em>have great night! :D</em></u>

4 0

2 years ago