a2 - 4 can indeed be factored. It's what we call a difference of squares. This is a special case when one perfect square is subtracted from another one. Any binomial in the format a2 - b2 can be factored out as (a + b)(a - b).
In this case then, it would be:
(a + 2)(a - 2)
7w2 -17w+16 is a polynomial that cannot be factored. We call this a prime polynomial.There are also no like terms to combine. So nothing much more can be done with this polynomial. If you wanted to find the roots or the zeros, you could use the quadratic formula.
well, i believe it goes like this (not certain) 25 is the only not prime number so... 3xcubed x squared -5 squared
I believe it is prime as you have written it. change the end to + 81 and it factors as (2x - 1)(x-9)(x+9)
When the expression is broken down into its prime factors it is factored completely.
prime
If a number cannot be factored it is a prime number.
Completely Factored
7w2 -17w+16 is a polynomial that cannot be factored. We call this a prime polynomial.There are also no like terms to combine. So nothing much more can be done with this polynomial. If you wanted to find the roots or the zeros, you could use the quadratic formula.
No. It factors to (11x - 13)(2x - 3)
Nope! It's (x+ 1) (x-1). :)
well, i believe it goes like this (not certain) 25 is the only not prime number so... 3xcubed x squared -5 squared
I believe it is prime as you have written it. change the end to + 81 and it factors as (2x - 1)(x-9)(x+9)
When the expression is broken down into its prime factors it is factored completely.
You want to factor (x4 -91) First notice that the factors of 91 are 1, 7, 13, and 91. If we try them all , we see that x4 -91 is a prime polynomial. Even though the polynomial is prime, that is cannot be factored over the set of rational numbers, it is factorable over the set of irrational numbers. x4 - 91 = (x2)2 - (√91)2 = (x2 - √91)(x2 + √91) = [x2 - (√√91)2](x2 + √91) = (x - √√91)(x + √√91)(x2 + √91)
The fundamental theorem of arithmetic says any integer can be factored into a unique product of primes. The is the prime factored form.
When a number can only be factored by 1 and itself or cannot be factored at all it is considered prime.
45 factored into prime numbers is: 5 x 9 5 x 3 x 3