T(x¹) = 5x¹ + 3x³, T(x³) = −4x¹ + (-5)x³, T(x²)=-3x² + -2x² +-2x, T(x¹) = 5x¹ + 5x³ + 5x² + 2x, and T(1) = 0x¹ + 0x³ + (0)x² + 3x +3. For each of the following subspaces, answer "1" if it is T-invariant and "0" otherwise. The subspace of P with ordered basis {2x¹ + 2x³ + 2x²+2x+2}. The subspace of P, with ordered basis 4

Q: If Q(x) = 7x - 1, find Q(- 9). Q(- 9) =

A:

Q: 4(x+1) = 3x-2 8

A: Consider the equation  4(x+1) = 3x-28

Q: (3x + 2)(x - 5) = 28

A: (3x + 2)(x - 5) = 28  => 3x^2 -15x +2x -10 = 28  => 3x^2 -13x - 10 -28 = 0  => 3x^2 -13x…

Q: h(x+5)=3x2-2

A:

Q: (x-3)-(-8x)/(x+1)+(x+1)x

A:

Q: (4x−y) ⁹

A: To find the 5th term of the following binomial expansion.4x-y9

Q: 6x + 8y = 3 (a) 3x – 10y = 5

A:

Q: A(x)=x3-7x2-16x+112,(x-7)

A: Given:     Ax=x3-7x2-16x+112 , x-7   Divide the leading term of the dividend by the leading term of…

Q: If 3+2(x+1)=6x what is x?

A: Given : 3+2(x+1)=6x

Q: (2x² - 4x+6)-(x² - 5)

A:

Q: Show the equivalent of (2x+3y) (4x² - 6xy +9y²) + (2x − 3y)(4x² + 6xy+9y²) 16x³ for x # 0.

A:

Q: -11x+5-4(x-1)=-4x-(10x-4)+4

A:

Q: (1-3x)/4)=(x+6/3)+1/2

A: LCM of 4,3,2 is = 12We multiply both side by 12 and distribute.

Q: 8(x-4)=3x+29

A: We have to solve the given equation 8(x-4)=3x+29

Q: E y= (4x²-5)* (3x-2)

A:

Q: 4(x+4)=3+4x

A: The given equation is

Q: (102x+1)(10x-3)=1010

A:

Q: (x) = - 4x2 + 2

A: We will find out the required values.

Q: 2(x + 3) - 7(2 - 3x)

A: