All categories

2 years ago

Factor the given polynomial completely. a²-4a-32

Mathematics

2 answers:

MrRa [10]2 years ago

8 0

Step-by-step explanation:

a²-8a+4a-32

a(a-8)+4(a-8)

(a+4)(a-8)

zhuklara [117]2 years ago

7 0

Answer:

(x + 4)(x - 8).

Step-by-step explanation:

a²-4a-32

We need 2 numbers whose product is -32 and whose sum is -4.

They are +4 and -8, so the factors are:

(x + 4)(x - 8).

You might be interested in

What is the value of x in the equation 8 + x = 3? (4 points)

ozzi

Answer:

x=-5

Step-by-step explanation:

8+x=3

Subtract 8 from both sides of the equation.

x=-5

HTH :)

6 0

3 years ago

Read 2 more answers

If 60 of the 200 students are girls, then what percent of the students are girls?

OlgaM077 [116]

30%?
60/200=.3*100=30%

5 0

3 years ago

Read 2 more answers

If tanA+sinA=m and tanA-sinA=n.prove that m^2-n^2=4√mn

mash [69]

Let $a=\tan A$ and $b=\sin A$ . Then

$m^2-n^2=(a+b)^2-(a-b)^2=(a^2+2ab+b^2)-(a^2-2ab+b^2)=4ab$

$\implies m^2-n^2=4\tan A\sin A$

and

$mn=(a+b)(a-b)=a^2-b^2$

$\implies4\sqrt{mn}=4\sqrt{\tan^2A-\sin^2A}$

The expression under the square root can be rewritten as

$\tan^2A-\sin^2A=\dfrac{\sin^2A}{\cos^2A}-\sin^2A=\sin^2A\left(\dfrac1{\cos^2A}-1\right)=\sin^2A(\sec^2A-1)$

Recall that

$\sin^2A+\cos^2A=1\implies\tan^2A+1=\sec^2A$

so that

$\tan^2A-\sin^2A=\sin^2A\tan^2A$

and assuming $\sin A>0$ and $\tan A>0$ , we end up with

$4\sqrt{\tan^2A-\sin^2A}=4\tan A\sin A$

so that

$m^2-n^2=4\sqrt{mn}$

as required.

5 0

3 years ago

Help plz asap !!!!!!!

Serggg [28]

17.156 is the rational number, if the number can be put into fraction form then it is considered rational

8 0

3 years ago

Read 2 more answers

What is 4 - 7/4x = 1/2? <br>Solve for x.

tia_tia [17]

When evaluating, you must combine like terms first, so subtract 4 from 1/2 then multiply that number by -7/4, this will give you the value of x.

4 0

3 years ago

Read 2 more answers