All categories

3 years ago

How many roots does the polynomial function y=(x-8)(x+3)^2 have

Mathematics

2 answers:

vova2212 [387]3 years ago

4 0

Answer: 2

Step-by-step explanation:

KATRIN_1 [288]3 years ago

3 0

Answer:

the given polynomial has two roots

Step-by-step explanation:

the polynomial function y=(x-8)(x+3)^2

To find the number of roots we look at the exponent of each factor

(x-8) has exponent 1 , x=8 is a root (one root)

(x+3)^2 has exponent 2 , x=-3 is one of the root

(x+3)^2=0

take square root on both sides

x+3=0

x= -3

So the given polynomial has two roots 8 and -3

You might be interested in

What doubles fact can I write to solve 4+5

GenaCL600 [577]

5+4❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

5 0

3 years ago

What expression is equivalent to 5 (x+6)-2x+9.

myrzilka [38]

5x+30- 2x+9

3x+39 is the expression.

7 0

2 years ago

Gamal spent $12. 50 at the book store. The difference between the amount he spent at the video game store and the amount he spen

AysviL [449]

Answer: The options are kinda weird

But the solution to x - 12.5 = 17 is x = 29.5, so whichever equation you plug this into is correct is the right equation...

8 0

2 years ago

Someone help me with this ..

Delicious77 [7]

$3x+12=4x-15\\
x=27\\\\
\angle ABC=2(3x+12)=2(3\cdot27+12)=2(81+12)=2\cdot93=186^{\circ}$

6 0

3 years ago

Which is equivalent to RootIndex 5 StartRoot 1,215 EndRoot Superscript x?

SOVA2 [1]

Answer:

1,215 Superscript one-fifth x

Step-by-step explanation:

Given:

The expression to simplify is given as:

$(\sqrt[5]{1215})^x$

We know that,

$\sqrt[n]{a} = a^{\frac{1}{n}}$

Here, $n=5, a=1215$

So, $\sqrt[5]{1215} = 1215^{\frac{1}{5}}$

So, the above expression becomes:

$(\sqrt[5]{1215})^x = (1215^{\frac{1}{5}})^x$

Now, using the law of indices $(a^m)^n=a^{(m\times n)}$

Here, $a=1215,m=\frac{1}{5},n=x$

So, the expression is finally simplified to;

$=(1215)^{({\frac{1}{5}}\times x)}\\\\=(1215)^{\frac{1}{5}x}$

Therefore, the second option is the correct one.

$(\sqrt[5]{1215})^x$ = 1,215 Superscript one-fifth x

6 0

2 years ago

Read 2 more answers