Question

factors of 3x² rt³ are


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Answer 1

Answer:

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Step-by-step explanation:

Solution:

Given is a quadratic polynomial.

Step 1: Identify the values of a, b and c.

In the above equation, a is coefficient ofx2 = 3,

b is the coefficient of x = -1 and

c is the constant term = - 4.

Step 2: Solve for x by factoring polynomial

Multiply a and c and find the factors that add up to b.

3 × (- 4) = 12

⇒ 3 and -4 are the factors of 12 that add up to b.

Step 3: Let us factorize the polynomial to find the value of x by splitting the middle term.

Split bx into two terms.

3x² + 3x - 4x - 4

Step 4: Take out the common factors by grouping.

3x(x + 1) -4(x + 1)

= (x + 1) (3x - 4)

Therefore, the factors of the given polynomial are (x + 1) (3x - 4)