Answer:
(2x² + 5x + 2) = (2x + 1)(x +2)
Step-by-step explanation:
Given expression is (2x² + 5x + 2).
We have to factorize the given expression.
(2x²+ 5x + 2) = 2x² + 4x + x + 2
= 2x(x + 2) + 1(x + 2)
= (2x + 1)(x + 2)
So the factored form of the given expression will be (2x + 1)(x + 2).
Part A
<h3>Answer:
h^2 + 4h</h3>
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Explanation:
We multiply the length and height to get the area
area = (length)*(height)
area = (h+4)*(h)
area = h(h+4)
area = h^2 + 4h .... apply the distributive property
The units for the area are in square inches.
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Part B
<h3>Answer:
h^2 + 16h + 60</h3>
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Explanation:
If we add a 3 inch frame along the border, then we're adding two copies of 3 inches along the bottom side. The h+4 along the bottom updates to h+4+3+3 = h+10 along the bottom.
Similarly, along the vertical side we'd have the h go to h+3+3 = h+6
The old rectangle that was h by h+4 is now h+6 by h+10
Multiply these expressions to find the area
area = length*width
area = (h+6)(h+10)
area = x(h+10) ..... replace h+6 with x
area = xh + 10x .... distribute
area = h( x ) + 10( x )
area = h( h+6 ) + 10( h+6 ) .... plug in x = h+6
area = h^2+6h + 10h+60 .... distribute again twice more
area = h^2 + 16h + 60
You can also use the box method or the FOIL rule as alternative routes to find the area.
The units for the area are in square inches.
The Answer is 21 because 7 and 3 can go in it as well
Answer:
43
Step-by-step explanation:
Using the remainder theorem, that is
The remainder on dividing f(x) by (x - h) is the value of f(h)
here division by (x - 3) hence evaluate f(3) for remainder
f(3) = 3² + 14(3) - 8 = 9 + 42 - 8 = 43 ← remainder
