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Q: Which binomial is a factor of 80y2-120y plus 45?

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(t - 15)(t + 3)

The highest common factor of 15 and 45 is 15

15v2+52v+45 = (5v+9)(3v+5) when factord

One minor correction on your question here - it's not a binomial. A binomial is a polynomial with two terms. This one - having three terms, is a trinomial. To factor it, you need to find two numbers that multiply to make -45 (the last term), and add to make 4 (the coefficient of the middle term). Once you have those numbers, you can break the equation down. In this case the numbers we need are 9 and -5. Here's how it's done: x2 + 4x - 45 = x2 - 5x + 9x - 45 = x(x - 5) + 9(x - 5) = (x + 9)(x - 5)

x2 + 18x + 45 = (x + 15)(x + 3).

(x+3)(x+15)

5(4x + 9)

(z + 15)(z + 3)

x2 - 14x + 45 = (x - 5)(x - 9).

5(x^2 + 9)

x2 + 14x + 45 = (x + 9) (x + 5)

(x + 15)(x - 3)

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