Q: How do you factor the polynomial 5a squared minus 15?

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5(x + 3)

It is 225, which is 15 squared.

-13

The GCF of 30 n^4 and 45 n^2 is 15 n^2. The GCF of 30 and 45 is 15, and n squared is a factor of n^4.

3x2-9x-30 =3x2+6x-15x-30 =3x(x+2)-15(x+2) =(3x-15)(x+2) OR 3(x - 5)(x+2)

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(x - 5)(x + 3)

(x - 5)(x - 3)

15x2 - 30x -720 = 15(x - 8)(x + 6).

3x^2 -14x +15 = (3x-5)(x-3)

F(x) = 15x2 - 2.5 + 3 That's a quadratic or 2nd degree polynomial in x.

What about it? Factorise it?

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If you mean: 4x squared+7x+4 then the discriminant is -15

There are many ways to solve it, such as completing the square or using the quadratic formula, but I'll assume you mean by factoring it. In a problem like this, you start off by figuring out the factors of 15. In this case, they are 1, 3, 5, and 15. That means that the polynomial factors out to be either (x+-3)(x+-5) or (x+-1)(x+-15) where +- means either plus or minus. Also, one of the factors must have a plus and the other a minus because 15 is negative in the polynomial. By a simple observation, or by guess and checking, we find it to factor into (x+5)(x-3) = 0, or x = -5, 3

(Y squared) minus (2 times Y) minus 15 = 0. The left side can be factored into: (Y - 5)(Y + 3) There are two different values for Y that will work for the above equation.

x = 1

Divide all terms by 3 gives: x2-5-14 and when factored gives: (x+2)(x-7)