1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gennadij [26K]
3 years ago
7

Help on (b) pleasea level maths factor theorem ​

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
6 0

Step-by-step explanation:

According to factor theorem, if x − c is a factor of f(x), then f(c) = 0.

Conversely, if f(c) = 0, then x −c is a factor of f(x).

a) If x − 3 is a factor of f(x), then f(3) will be 0.

f(3) = 4(3)³ − 12(3)² + 2(3) − 6

f(3) = 0

b) Having shown that x − 3 is a factor of f(x), we can use grouping or long division to factor f(x):

f(x) = 4x³ − 12x² + 2x − 6

f(x) = 4x² (x − 3) + 2 (x − 3)

f(x) = (4x² + 2) (x − 3)

Since 4x² + 2 has only imaginary zeros, 3 is the only real root.

You might be interested in
Perimetrul unui dreptunghi este de 400 m, iar latimea este de 3 ori mai mica decat lungimea acestuia. Cati metri are lungimea dr
wlad13 [49]

Răspuns:

150 m

Explicație pas cu pas:

Reamintim:

Perimetrul unui dreptunghi, P

P = 2 (lungime + lățime)

P = 400

Lățime = x

Lungime = 3x

Astfel, avem:

400 = 2 (3x + x)

400 = 2 (4x)

400 = 8x

Împărțiți ambele părți la 8

50 = x

Lungime = 3x

Lungime = 3 * 50

Lungime = 150 m

3 0
3 years ago
-2x+3=-2x+5 how do you solve for x
nadezda [96]

Answer:

"no salutions" is your answer

Step-by-step explanation:

4 0
3 years ago
HELP ASAP <br><br> What is the value of x?<br> O x = 55°<br> O x = 60°<br> O x = 70°<br> O x = 110°
valina [46]

Answer:

the answer is the answer the answer is x=55 degrees because the angle sum for a triangle is 180 degrees and because we are told angle A and angle C are congruent that means you can simply take 180 - 70 to get 110 and i simply divided that by 2 and got 55 degrees

Step-by-step explanation:

5 0
3 years ago
169= (24/2)^2 +(d/2)^2
OlgaM077 [116]

Answer: d = ±10

<u>Step-by-step explanation:</u>

169 = (\frac{24}{2})^{2} + (\frac{d}{2})^{2}

169 = (12)² + \frac{d^{2}}{4}

169 = 144  + \frac{d^{2}}{4}

25 =            \frac{d^{2}}{4}

100 = d²

√100 = √d²

 ±10 = d

6 0
3 years ago
X/2-14=-20 I tried on this one but I failed.
KengaRu [80]

Answer: I’m not going to tell u the answer hrhrhehehehehehrhehsnheaj

Step-by-step explanation:

-34 answer

6 0
3 years ago
Read 2 more answers
Other questions:
  • Find the discriminant of 5x^2+3x-5=0 for x
    8·2 answers
  • What is the expression for 10 less than half a number is 27
    13·1 answer
  • How do the signs of the coordinates relate
    12·2 answers
  • How many different combinations of pennies, nickels, dimes, quarters, and half dollars can a piggy bank contain if it has 23 coi
    5·1 answer
  • Trey’s grandmother has a framed picture with side lengths that are 12 inches. Trey wants to know how much wall space is needed f
    7·1 answer
  • PLLLLLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP ME RIGHT NOW ASAP Pinea
    14·1 answer
  • CAN SOMEONE PLZ HELP ME?? PLZ DO YOU KNOW ABOUT Coordinate Planes??!! plzzzzzz help
    6·2 answers
  • (5,-10) and (15,-20). find the equation of this line.
    13·2 answers
  • Consider functions f and g
    11·1 answer
  • Please please please help me asap! I need to get this done!!!
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!