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A day full of math games & activities. Find one near you.
Factor completely 4x² + 25x + 6.
(4x + 1)(x + 6), (4x + 6)(x + 1), (2x + 3)(2x + 2), (2x + 6)(2x + 1)
Solution:
Given is a quadratic polynomial.
Step 1: Identify the values of a, b and c.
In the above equation, a is the coefficient of x2 = 4,
b is the coefficient of x = 25, and
c is the constant term = 6.
Step 2: Solve for x by factoring polynomial
Multiply a and c and find the factors that add up to b.
4 × (6) = 24
⇒ 1 and 24 are the factors of 24 that add up to b.
Step 3: Let's split the middle term
Split bx into two terms.
4x2 + 24x + 1x + 6
Step 4: Take out the common factors by grouping.
4x(x + 6) +1(x + 6)
(4x + 1) (x + 6)
Therefore, the The factors of the given polynomial 4x² + 25x + 6 are (4x + 1)(x + 6)
Factor completely 4x² + 25x + 6.
(4x + 1)(x + 6), (4x + 6)(x + 1), (2x + 3)(2x + 2), (2x + 6)(2x + 1)
Summary:
The factors of the equation 4x² + 25x + 6 are (4x + 1)(x + 6).
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