Home > Algebra > Factorization of Quadratic Expressions

How do you factor #9x^2+24x+16#?

Answer 1

Eli Assouline

#(3x+4)(3x+4)#

Find factors of #9# and #16# whose products add to #24#

Note that both #" "9 and 16# are squares .

#3xx4 =12, " "and 12+12 = 24#

#9x^2 +24x+16 = (3x+4)(3x+4)#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Savannah Anderson

To factor 9x^2 + 24x + 16, first, find two numbers that multiply to give you 9 * 16 = 144 and add to give you 24. Those numbers are 12 and 12. Then, rewrite the middle term using these numbers: 9x^2 + 12x + 12x + 16. Now, factor by grouping: (9x^2 + 12x) + (12x + 16). Factor out the greatest common factor from each group: 3x(3x + 4) + 4(3x + 4). Now, you can see that both groups have a common factor of (3x + 4). Factor it out: (3x + 4)(3x + 4). So, the factored form of 9x^2 + 24x + 16 is (3x + 4)(3x + 4), or (3x + 4)^2.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.