What is factor 4x^3-5x^2-28x+35 ?

The solution to factor 4x^3-5x^2-28x+35 is (4x-5)(x^2-7)

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factor 4x^3-5x^2-28x+35

factor

4 x^{3} - 5 x^{2} - 28 x + 35

(4 x - 5) (x^{2} - 7)

Solution steps

4 x^{3} - 5 x^{2} - 28 x + 35

= (4 x^{3} - 5 x^{2}) + (- 28 x + 35)

Factor out

x^{2}

from

4 x^{3} - 5 x^{2} : x^{2} (4 x - 5)

Factor out

- 7

from

- 28 x + 35 : - 7 (4 x - 5)

= x^{2} (4 x - 5) - 7 (4 x - 5)

Factor out common term

4 x - 5

= (4 x - 5) (x^{2} - 7)

5 x^{2} - 20 = 0

7 x^{2} + 5 = 0

\frac{5}{\frac{19}{6}}

\frac{2}{2}

(3 + 2 i) - (3 - 2 i)

What is factor 4x^3-5x^2-28x+35 ?
The solution to factor 4x^3-5x^2-28x+35 is (4x-5)(x^2-7)