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How do you factor the expressions #y^2-11y+30#?

Answer 1

Find the factors, choose the factors that add up to the coefficient of the second term, and put them in parentheses.

In order to factor this expression, we must first find the integer factors of the constant (30). The factor "sets" are: 1 and 30, 2 and 15, 3 and 10, 5 and 6. Next, we'll find which of these factors add up to the coefficient of the second term (-11). Since the coefficient is negative, the factors that we'll put in the binomial will also be negative. #-5 + -6 =-11#, so we'll use the factors 5 and 6. We'll put the two terms into parentheses. The binomials will be #(y-5)(y-6)#. That's how you factor the expression.

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Answer 2

Avery Alexander

To factor the expression y^2 - 11y + 30, you need to find two numbers that multiply to 30 (the constant term) and add up to -11 (the coefficient of the linear term). The two numbers are -5 and -6.

Therefore, you can rewrite the expression as:

y^2 - 5y - 6y + 30

Then, factor by grouping:

y(y - 5) - 6(y - 5)

Now, you have a common factor of (y - 5), so you can factor it out:

(y - 5)(y - 6)

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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.