Sure, here are the steps to factorise the given expression:

1. Write down the expression: 5p^2 - 17p - 78

2. We need to find two numbers that multiply to (5*-78) = -390 and add up to -17. Those numbers are -15 and 26.

3. Rewrite the middle term of the expression as the sum of -15p and 26p: 5p^2 - 15p + 26p - 78

4. Factor by grouping: 5p(p - 3) + 26(p - 3)

5. Notice that (p - 3) is a common factor: (p - 3)(5p + 26)

So, the factorised form of 5p^2 - 17p - 78 is (p - 3)(5p + 26).

Question

Sure, here are the steps to factorise the given expression:

1. Write down the expression: 5p^2 - 17p - 78

2. We need to find two numbers that multiply to (5*-78) = -390 and add up to -17. Those numbers are -15 and 26.

3. Rewrite the middle term of the expression as the sum of -15p and 26p: 5p^2 - 15p + 26p - 78

4. Factor by grouping: 5p(p - 3) + 26(p - 3)

5. Notice that (p - 3) is a common factor: (p - 3)(5p + 26)

So, the factorised form of 5p^2 - 17p - 78 is (p - 3)(5p + 26).

Knowee AI · Accepted Answer

Sure, here are the steps to factorise the given expression:

1. Write down the expression: 5p^2 - 17p - 78

2. We need to find two numbers that multiply to (5*-78) = -390 and add up to -17. Those numbers are -15 and 26.

3. Rewrite the middle term of the expression as the sum of -15p and 26p: 5p^2 - 15p + 26p - 78

4. Factor by grouping: 5p(p - 3) + 26(p - 3)

5. Notice that (p - 3) is a common factor: (p - 3)(5p + 26)

So, the factorised form of 5p^2 - 17p - 78 is (p - 3)(5p + 26).

Factorise 5p2−17p−78 completely.