Question

(Will give brainliest to the most explained answer!) Can someone explain how to factor Polynomials. Please explain it like you’re teaching this to a 5 year old. :)

Answer 1

Step-by-step explanation:

Find the Greatest Common Factor (GCF) of a polynomial.

Factor out the GCF of a polynomial.

Factor a polynomial with four terms by grouping.

Factor a trinomial of the form .

Factor a trinomial of the form .

Indicate if a polynomial is a prime polynomial.

Factor a perfect square trinomial.

Factor a difference of squares.

Factor a sum or difference of cubes.

Apply the factoring strategy to factor a polynomial completely

Answer 2

Answer:

See explanation

Step-by-step explanation:

We can factor polynomials by breaking down the expression.

For instance, let's say we have the polynomial $x^2 - 9x + 14$.

We can start solving this because this polynomial is in standard form, meaning that the highest exponents go first. ($ax^2 + bx + c$.)

To factor a polynomial, we are looking for two numbers that:

A. When multiplied, get us $c$ (in this case, 14)

B. When added, get us $b$ (in this case, -9).

If we play around with numbers, looking at the factors of 14, we see that the numbers 7 and 2 might be useful here. They add up to 9 and multiply to be 14.

However, these numbers ADD to be -9, meaning that they both need to be negative.

$-7 + -2 = -9\\-7\cdot-2=14$

Now that we know our numbers, -7 and -2, we can make these our factors (which are represented by $(x + y)$, y being our factor.

So our factors turn out to be $(x-7)$ and $(x-2)$.

Let me know if you need anything explained more, and I hope this helped!