Answer:
factored form of given equation \(4y^2+25y+6\) is \((4y+1)(y+6)\)
Step-by-step explanation:
Given equation \(4y^2+25y+6\)
We have to write the given equation in factors form and then represent the factors on grid.
Consider the given equation \(4y^2+25y+6\)
25y can be written as 24y + y , we get
\(\Rightarrow 4y^2+24y+y+6\)
Taking 4y common from first two term and 1 common from last two term, we get,
\(\Rightarrow 4y(y+6)+1(y+6)\)
\(\Rightarrow (4y+1)(y+6)\)
Thus, factored form of given equation \(4y^2+25y+6\) is \((4y+1)(y+6)\)
On grid it is shown as shown in attachment below.
