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GalinKa [24]
4 years ago
12

3x^3+x+2x^3-4x^2+14y-2(y+x) simplify this polynomial

Mathematics
1 answer:
Stels [109]4 years ago
3 0
3x³ + x + 2x³ - 4x² - 2(y + x)
3x³ + 2x³ - 4x² + x - 2(y) - 2(x)
5x³ - 4x² + x - 2y - 2x
5x³ - 4x² + x - 2x - 2y
5x³ - 4x² - x - 2y
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multiplication and division

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Given that (ax^2 + bx + 3) (x+d) = x^3 + 6x^2 + 11x + 12, it asks a + 2b - d = ?
astraxan [27]

Answer:

a+2b-d=1, 3, 5, 7

Step-by-step explanation:

(ax^2+bx+3)(x+d)

ax^3+bx^2+3x+adx^2+bdx+3d

ax^3+bx^2+adx^2+3x+bdx+3d=x^3+6x^2+11x+12

ax^3=x^3, a=1

bx^2+adx^2=6x^2

x^2(b+ad)=6x^2

b+ad=6

b+(1)d=6

b+d=6

------------

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x(3+bd)=11x

3+bd=11

-----------------

b=6-d

3+(6-d)d=11

3+6d-d^2=11

3-11+6d-d^2=0

-8+6d-d^2=0

d^2-6d+8=0

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(d-4)(d-2)=0

zero property,

d-4=0, d-2=0

d=0+4=4,

d=0+2=2

b=6-4=2,

b=6-2=4.

------------------

a+2b-d=1+2(2)-2=1+4-2=5-2=3

-------------------

a+2(4)-4=1+8-4=9-4=5

-----------------------

a+2(2)-4=1+4-4=5-4=1

-----------------------

a+2(4)-2=1+8-2=9-2=7

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3 years ago
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monitta

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30% off
your welcome ;D two week old question tho
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