does not need polynomial factoring. You can use reverse order of operations to solve for x directly.
can be re-written as
which can be solved using polynomial factoring. Here you can consider how you can factor in terms of (7x + ?)(x + ?) since the only way to multiply to give 7 is 7*1 since 7 is prime. Alternatively you can factor out 7 to get
and then factor the polynomial in the brackets with the coefficient of x^2, which is 1, and use other methods.
you can consider methods of substitution or to look for common factors with each of your terms, and then factor out. In this case, we can identify 5u^2 as a common factor between 10u^3 and -5u^2 and hence the equation can be rewritten as
similar method as mentioned above.
What two numbers, a and b, add to give you -1, and multiply to give you -6? Think about what happens if you were to foil (p+a)(p+b) if the two conditions were satisfied.
is already factored.