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ValentinkaMS [17]
2 years ago
12

Factoring a quadratic with leading coefficient greater than 1 2y^2+17y-9

Mathematics
1 answer:
abruzzese [7]2 years ago
4 0
Multiply first and last coefficients:
2*(-9) = -18

Find 2 factors which multiply to -18 and add up to 17:
18 and -1

Rewrite quadratic with 17y split up as' 18y - y', Then factor by grouping:

2y^2 - y + 18y -9 \\  \\ y(2y-1) + 9(2y-1) \\  \\ (2y-1)(y+9)
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