Explain how to subtract polynomials.

Subtract the polynomials : (7x+3)-(3x+2)

Explain how to subtract polynomials.

Subtract the polynomials.

$$(y-8)-(3 y-2)$$

Subtract the polynomials : (3x+1)-(5x+8)

Multiply the polynomials.
$(x+3)(x-5)$

Multiply the polynomials.\

$$(x+5)(x-1)(x+2)$$

Multiply the polynomials.

$$(a+b)(a-b)$$

Multiply the polynomials.\

$$(x-2)(x+7)$$

Let $f(x)=x^{2}$ on the interval $-\pi \leq x \leq \pi$. a. Find the Fourier polynomials for f of degrees n = 2, 3, 4, and 5. b. Sketch y = f (x) along with the polynomials found in part (a).

Let $\mathcal{B}$ be the basis of $P_3$ consisting of the Hermite polynomials in Earlier Exercise , and let p(t)=7-12 t-8 t$^2+12 t^3$. Find the coordinate vector of p relative to $\mathcal{B}$.

Multiply the polynomials.\

$$(x-6 y)(2 x-7 y)$$

Multiply the polynomials.
$(x-4 y)(3 x-7 y)$

Subtract the polynomials.

$$(x-2)-(7 x+9)$$