(1 + x + x^4)(5 + x + x^2 + 3x^2) =
= 1(5 + x + x^2 + 3x^2) + x(5 + x + x^2 + 3x^2) + x^4(5 + x + x^2 + 3x^2) =
= 5 + x + x^2 + 3x^3 + 5x + x^2 + x^3 + 3x^4 + 5x^4 + x ^5 + x^6 + 3x^7 =
= 5 + 6x + 2x^2 + 4x^3 + 8x^4 + x^5 + x^6 + 3x^7

Question

asked 2021-01-05

Determine whether the following are polynomials or not:
2x^2 + 7x+ 1,
1/(x^3 + 2),
6,
8x – 1,
sqrt(2x + 5).

asked 2021-02-24

Multiply these polynomials:
12ab(5/6a + 1/4ab^2)

asked 2020-12-06

Multiply the polynomials (2.1y – 0.5)(y + 3).

asked 2021-02-01

Add the polynomials: (t^2 – 4t + t^4) + (3t^4 + 2t + 6)

asked 2021-02-11

Solve, adding the polynomials:
(2.7m – 0.5h) + (-3.2m + 0.2h)

asked 2021-01-04

The polynomial \(\displaystyle{y}=-{0.79}{x}^{{4}}+{3}{x}^{{3}}+{27.3}\) describes the billions of flu virus particles in a person’s body x days after being infected. Find the number of virus particles, in billions, after 1 day.

asked 2020-12-22

For the following polynomial, P(x) =x^3 – 2x^2 + 4x^5 + 7, what is:
1) The degree of the polynomial,
2) The leading term of the polynomial,
3) The leading coefficient of the polynomial.

asked 2020-12-05

Multiply the polynomials: 6xy^2(1/2x - 2/3xy)

asked 2020-11-10

Multiply the polynomials:
(4a – 9)(1.5a – 2)

asked 2021-02-11

For the following polynomial, P(x) = x^6 – 2x^2 – 3x^7 + 7, find:
1) The degree of the polynomial,
2) The leading term of the polynomial,
3) The leading coefficient of the polynomial.