Question

factorise 1+a²+a³+a​

Answer 1

hope...this will help you

Answer 2

Given:

An algebraic expression  1+a²+a³+a​.

To Find:

The factorization of the above expression.

Solution:

The given problem can be solved using the concepts of factorization.

1. Factorization of a polynomial implies reducing the polynomial into simpler terms (OR) reducing the expression as a product of smaller terms.

2. The given expression is  1+a²+a³+a​.

3. The given expression can be also written as,

=>  1+a²+a³+a​,

=> 1 + a + a²+ a³,

=> 1 + a + a²(1 + a),

=> 1(1 + a) + a²(1 + a),

=> (1+a²) x (1+a).

• Method 2:

=> 1+a²+a³+a​,

=> 1 + a² + a+ a³,

=> 1 + a² + a(1 + a²),

=> 1(1 + a²) + a(1 + a²),

=> (1+a²) x (1+a).

Hence, the factorization of 1 + a² + a³ + a is (1+a) x (1+a²).