What is factor sin^2(x)-7sin(x)+10 ?

The solution to factor sin^2(x)-7sin(x)+10 is (sin(x)-2)(sin(x)-5)

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factor sin^2(x)-7sin(x)+10

factor

sin^{2} (x) - 7 sin (x) + 10

(sin (x) - 2) (sin (x) - 5)

Solution steps

sin^{2} (x) - 7 sin (x) + 10

Break the expression into groups

= (sin^{2} (x) - 2 sin (x)) + (- 5 sin (x) + 10)

Factor out

sin (x)

from

sin^{2} (x) - 2 sin (x) : sin (x) (sin (x) - 2)

Factor out

- 5

from

- 5 sin (x) + 10 : - 5 (sin (x) - 2)

= sin (x) (sin (x) - 2) - 5 (sin (x) - 2)

Factor out common term

sin (x) - 2

= (sin (x) - 2) (sin (x) - 5)

2 \times 3 - 5 \times 2 + 25

2 x^{4} - 14

a \cdot + b \cdot + a y + b y

(x^{3} - 4 x^{2}) + (- 7 x + 10)

(2 x - 1)^{3} + 64

What is factor sin^2(x)-7sin(x)+10 ?
The solution to factor sin^2(x)-7sin(x)+10 is (sin(x)-2)(sin(x)-5)