I need help with this: x² + 14x + 33

Question

x² + 14x + 33

Answer 1

What exactly do you need help with given the equation? More information is needed. Do you need to solve for when x = 0? So 0 = x^2 +14x +33 ?

Answer 2

Hello, thank you for taking the time to post your question!

Does the question provide any more context beyond this? Typically on this type of question it is expecting you to solve for the values of “x” that make the equation equal to 0. If that’s the case you either way to factor or use the quadratic formula. If you try to factor you’re looking for 2 values that add up to be 14 and multiply together to be 33.

I hope that helps get you moving in the right direction! Feel free to reach out if you have any additional questions beyond that :)

Answer 3

ax² + bx + c

Multiply a(c), then find two factors of the product whose sum is b.

x² + 14x + 33

Remember that if there is no coefficient, our coefficient is 1. But, just like saying Katie means there's one of you...

1(33) = 33

What two factors have a sum of 14?

1 + 33 ≠ 14

3 + 11 = 14.

11x + 3x = 14x, right?

x² + 11x + 3x + 33

Now, we pair the first two and last two terms and factor.

What's common between x2 and 11x? x.

x2 + 11x = x(x + 11)

What's common between 3x and 33? 3.

3x + 33 = 3(x + 11)

x2 + 11x + 3x + 33 = x(x + 11) + 3(x + 11) = (x + 3)(x + 11)

Answer 4

If you factor this polynomial, you'll get (x+11)(x+3) because 11+3=14 and 11*3=33

If you want to find the zeroes, set the factors equal to 0 and you'll get x=-11 and x=-3 as the zeroes.