# math

posted by .

factor the polynomial:

x^2 + 6x + 9

• math -

Try a perfect square:
(x+a)²
=x²+2ax+a²

• math -

x^2+6x+9

Product of the coefficients of the 1st and last terms: +9 (1x9)
Sum: +6 (middle term is always the sum)

List all the factors of 9 and determine which pair would give you a product of +9 and a sum of +6:
1,9
3,3 ✓

your answer will be (x+3)^2 or (x+3)(x+3)

Check: F.O.I.L. (x+3)(x+3)
x^2+3x+3x+9
x^2+6x+9

## Similar Questions

1. ### algebra 1

Can someone solve theses for me? Factor the polynomial x2 + 7x + 12 completely Factor the polynomial x2 – 4 completely Factor the polynomial 18a2b – 4ab + 10a completely x2 + 7x + 12 = (x+4)(x+3) x2 – 4 = (x+2)(x-2) 18a2b –
2. ### polynomials

lol, i also have these Factor the polynomial x2 + 3x – 18. Which one of the following is a factor?
3. ### math

Factor each polynomial completely, if a polynomial is prime say so 9x^2+4y^2
4. ### math

Factor each polynomial, if possible. If the polynomial cannot be factored, write prime. 15b^2-24bf
5. ### Algebra Question~!

Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial?
6. ### Math

consider the polynomial (x-a)(x-b)and the real number line Identify the points on the line where the polynomial is zero. In each of the three subintervals of the line, write the sign of each factor and the sign of the product.For which …
7. ### MATH 101

Factor completely. Be sure to factor out the greatest common factor first if it is other than 1. (If the polynomial is prime, enter PRIME.) 56a^2+39ab-27b^2
8. ### Math

Part 1: Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial?
9. ### Math

Part 1: Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial?
10. ### algebra--1 question

Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial?

More Similar Questions