Find the rational roots of x4+5x3+7x2-3x-10=0

1 and -2 are rational roots of the given equation.

Step-by-step explanation:

The given equation is

According to the rational root theorem, all the possible rational roots of a equation are in the form of

Where, p is factors of constant term and q is factors of leading coefficient.

In the given equation the constant term is -10 and leading coefficient is 1. So, the possible rational roots are

For x=1 and x=-2, the left hand side and right had side of the equation are equal. So, (x-1) and (x+2) are factors of given equation and 1 and -2 are rational roots.

Using synthetic method, we get

The parenthesis can not be factored further because the value of the discriminant is negative.

Therefore 1 and -2 are rational roots of the given equation.

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.

if x = 1, then the answer is 3.5