Find the quotient and the remainder when  2x^4+3x^3+x+1 is divided by 3x^2+1 in Z5[x].

Q: what is 1+1x^2

A: Given 1+1x2=12+x2formula used is a2+b2=(a+b)2-2ab

Q: 2 Find 2 y5)(x+6X

A:

Q: Find the LCD of x+2 / x^2-64  and  -4x / x^2-10x+16

A:

Q: find zeroes of x^3-3x^2-13x+15

A:

Q: (8y-20)^2=9

A: Given information:The given equation is

Q: x^2+5x+6/ x^2 +10x+21divided by x^2+2x/x^24x-21

A:

Q: Choose all factors of 21xy+18x+6xy^2 A. 2y+1 B.y+2 c.y+6 D.y+1 E.2y+3 F.x g. 3x

A: Consider the expression

Q: Find the inflection points of -x^4-7x^3+2x-3

A:

Q: A = = || we ๆๆ -2 0 1 4 B = - 3 2 Ho - o blo

A: We have to find the matrix

Q: 3. Subtract 2x² – 9x + 6 from Sr -3x +7 %3D

A:

Q: Is x+1 a factor of 5x^4+2x^3−2x^2+3x+1​?

A:

Q: Differentiate with respect to x. -4(3x-12)^2

A:

Q: Find the term of (a-2b)^13 that has b^3 in it.

A:

Q: (x^2 + 2y^2)(3x+y) - (2y^2 - y)(-2x-y+1) b.) what is the value of n?

A:

Q: What is the coefficient of x^7 in the polynomial (1+x+2x^2)^12

A:

Q: ((-2×z^5)/(z^2*p^2))^-3 simplify

A: Solution

Q: Expand and simplify y=(3x+2)(X^2+4x+9)

A:

Q: Expand (1 + 2x^2)^5 and write the resulting polynomial in standard form.

A:

Q: (x-4)^2=2x^2-9x-14

A: Formula:

Q: Choose all factors of 21xy+18x+6y^2 A. 2y+1 B.y+2 c.y+6 D.y+1 E.2y+3 F.x g. 3x

A:

Q: Factor x^4+1 in Z5.

A:

Q: Expand and simplify this factorial polynomial: (x-10)^(4)

A:

Q: Find a,b,c (if possible) so that 2x^3-9x^2+8x-2=(2x-1)(ax^2+bx+c)

A: The given equation is,

Q: Complete the table to multiply x^2-4x+4 and 6x+3. X^2| -4x| 4 | 6x| 3 | | | | =6x^3-21x^2 +12x+12

A: Sol:-     given equation , x2-4x + 4 →1 and 6x + 3→2 now we need to multiply equation 1 and 2, we…

Q: derive (3x^2+2x)^6

A: Chain rule of differentiation: Consider a function f(x), which is a composite function given by…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.