What is factor 0.01q^2+0.4q+4 ?

The solution to factor 0.01q^2+0.4q+4 is (0.1q+2)^2

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factor 0.01q^2+0.4q+4

factor

0.01 q^{2} + 0.4 q + 4

(0.1 q + 2)^{2}

Solution steps

0.01 q^{2} + 0.4 q + 4

Rewrite

0.01 q^{2} + 0.4 q + 4

(0.01 q)^{2} + 2 \cdot 0.1 q \cdot 2 + 2^{2}

= (0.01 q)^{2} + 2 \cdot 0.1 q \cdot 2 + 2^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

a = 0.1 q, b = 2

= (0.1 q + 2)^{2}

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What is factor 0.01q^2+0.4q+4 ?
The solution to factor 0.01q^2+0.4q+4 is (0.1q+2)^2