4b^2 + 13b +3
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4b²+13b+3
4b²+(12b+b)+3
(4b²+12b)+(b+3)
4b(b+3)+(b+3)
(4b+1)(b+3)
Solution: (4b+1)(b+3)
4b²+(12b+b)+3
(4b²+12b)+(b+3)
4b(b+3)+(b+3)
(4b+1)(b+3)
Solution: (4b+1)(b+3)
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Always remember that
(ax + b)(cx + d)
= acx^2 + (ad +bc)x + bd
Here: bd = 3 = 3 + 1
(ad + bc) = 13 = 4 * 3 + 1
ac = 4 = 4 * 1
so
4b^2 + 13b +3
= (4b + 1)(b + 3).
(ax + b)(cx + d)
= acx^2 + (ad +bc)x + bd
Here: bd = 3 = 3 + 1
(ad + bc) = 13 = 4 * 3 + 1
ac = 4 = 4 * 1
so
4b^2 + 13b +3
= (4b + 1)(b + 3).
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4b^2 + 13b + 3 =
(4b + 1)(b + 3)
(4b + 1)(b + 3)
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(4b + 1)(b + 3)
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You're a slave driver
(b + 3)(4b + 1) = 0
(b + 3)(4b + 1) = 0