All categories

2 years ago

Find the roots of the factored polynomial.

Mathematics

1 answer:

DanielleElmas [232]2 years ago

8 0

Answer:

x = {- 4, 4}

Step-by-step explanation:

factored polynomial is: (x–4)(x+4)

Let (x–4)(x+4) = 0

$\therefore \: (x - 4)= 0 \: or \: (x+4) = 0 \\ \therefore \:x = 4 \: \: or \: \: x = - 4 \\ \therefore \:x = \{ - 4, \: \: 4 \} \\ are \: the \: required \: roots.$

You might be interested in

The first three terms of an arithmetic sequence are as follows

ozzi

Answer:

32 and 39

Step-by-step explanation:

The common difference d for the sequence is 7

1st term of the sequence a1 is 11.

4th (a4) and 5th (a5) term of the sequence are required

nth term of an arithmetic sequence an =a1+(n-1)d

a4=11+(4-1)7=32

a5=11+(5-1)7=39

4 0

2 years ago

Used use euler's method with step size 0.1 to estimate y(0.5), where y(x) is the solution of the initial-value problem y ' = y +

brilliants [131]

We want to solve the Initial Value Problem y' = y + 4xy, with y(0) = 1.

To use Euler's method, define
y(i+1) = y(i) + hy'(i), for i=0,1,2, ...,
where
h = 0.1, the step size.,
x(i) = i*h

1st step.
y(0) = 1 (given) and x(0) = 0.
y(1) ≡ y(0.1) = y(0) + h*[4*x(0)*y(0)] = 1

2nd step.
x(1) = 0.1
y(2) ≡ y(0.2) = y(1) + h*[4*x(1)*y(1)] = 1 + 0.1*(4*0.1*1) = 1.04

3rd step.
x(2) = 0.2
y(3) ≡ y(0.3) = y(2) + h*[4*x(2)*y(2)] = 1.04 + 0.1*(4*0.2*1.04) = 1.1232

4th step.
x(3) = 0.3
y(4) ≡ y(0.4) = y(3) + h*[4*x(3)*y(3)] = 1.1232 + 0.1*(4*0.3*1.1232) = 1.258

5th step.
x(4) = 0.4
y(5) ≡ y(0.5) = y(4) + h*[4*x(4)*y(4)] = 1.258 + 0.1*(4*0.4*1.258) = 1.4593

Answer: y(0.5) = 1.4593

4 0

2 years ago

Which 1 weighs about 6 ounces a toothbrush or a paper clip?

bogdanovich [222]

A toothbrush weighs that much. a paperclip weighs less then an ounce, about 0.049 oz.

have a nice day

7 0

2 years ago

Read 2 more answers

If each quadrilateral below is a parallelogram,find the missing measures.

zhenek [66]

Answer:

Part 1) $MN=31\ units$

Part 2) $KN=45\ units$

Part 3) m∠K=61°

Part 4) m∠L=119°

Part 5) m∠M=61°

Step-by-step explanation:

we know that

In a parallelogram opposite angles and opposite sides are congruent and consecutive angles are supplementary

Part 1) Find the side MN

we know that

MN≅KL ----> by opposite sides

we have

$KL=31\ units$

therefore

$MN=31\ units$

Part 2) Find the side KN

we know that

KN≅LM ----> by opposite sides

we have

$LM=45\ units$

therefore

$KN=45\ units$

Part 3) Find the measure of angle K

we know that

m∠K+m∠N=180° ----> by consecutive interior angles

we have

m∠N=119°

substitute

m∠K+119°=180°

m∠K=180°-119°

m∠K=61°

Part 4) Find the measure of angle L

we know that

m∠L≅m∠N ----> by opposite angles

we have

m∠N=119°

therefore

m∠L=119°

Part 5) Find the measure of angle M

we know that

m∠M≅m∠K ----> by opposite angles

we have

m∠K=61°

therefore

m∠M=61°

7 0

2 years ago

helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

nydimaria [60]

Answer is 0= -2

Yyyyyyyyyyyyyyyyyyyyyyyyyooooooooooooooooooooouuuuuuuuuuuurrrrrrrrrrrrr WELCOME

8 0

1 year ago

Read 2 more answers