Solve:2(7y + z)(3y + 5z)

Find a polynomial of the specified degree that has the given zeros. Degree 4, zeros -2, 0, 2, 4

Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and zeros 0 and i.

Is ${\displaystyle x^4+4}$ an irreducible polynomial?

Determine if the following set of polynomials fors a basis of ${\displaystyle P_3}$
${\displaystyle p_1=3+7t,}$

$p_2=5+t-2t^3,$

$p_3=t-2t^2,$

$p_4=1+16t-6t^2+2t^3$

Write the polynomial in standard form. Identify the degree and leading coefficient of the polynomial. Then classify the polynomial by the number of terms.
${\displaystyle 6c^2+2c^4-c}$

We have to find all real solutions to this system of equations:
${\displaystyle x=\frac{4z^2}{1+4z^2},y=\frac{4x^2}{1+4x^2},z=\frac{4y^2}{1+4y^2}}$

Multiply the polynomials.
${\displaystyle (6x^2+6x+1)(3x-1)}$