What is factor 2b^2+17b+21 ?

The solution to factor 2b^2+17b+21 is (2b+3)(b+7)

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factor 2b^2+17b+21

factor

2 b^{2} + 17 b + 21

(2 b + 3) (b + 7)

Solution steps

2 b^{2} + 17 b + 21

Break the expression into groups

= (2 b^{2} + 3 b) + (14 b + 21)

Factor out

b

from

2 b^{2} + 3 b : b (2 b + 3)

Factor out

7

from

14 b + 21 : 7 (2 b + 3)

= b (2 b + 3) + 7 (2 b + 3)

Factor out common term

2 b + 3

= (2 b + 3) (b + 7)

35 x^{2} + 12 x y - 32 y^{2}

(3 + 2 i) (2 - i)

x^{2} - b^{2}

x (x - 15) + 56 = 0

x^{2} - 4 x = 1