I need help with this! Factor Quadratic equation. 10g^2+9g+2

(2g + 1)(5g + 2)

Step-by-step explanation:

Given

10g² + 9g + 2

Consider the factors of the product of the g² term and the constant term which sum to give the coefficient of the g- term.

product = 10 × 2 = 20 and sum = 9

The factors are + 5 and + 4

Use these factors to split the g- term

10g² + 5g + 4g + 2 ( factor the first/second and third/fourth terms )

= 5g(2g + 1) + 2(2g + 1) ← factor out (2g + 1) from each term

= (2g + 1)(5g + 2) ← in factored form

a) 9

Step-by-step explanation:

Draw out or imagine the next set of pyramids. If P1 has 2 blocks on the bottom and P2 has 3 blocks, that means that if you follow the pattern, P4 will have 5 blocks on the bottom so just add 5 to the amount of blocks in P3. To make P5, just add 6 blocks onto the amount of blocks in P4 that you just made. Hope this helps, I am not very good at explaining. I don't know the answer to 'b' as I am struggling with it as well.