Question

Factor x2 – 3x – 28. An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression a x squared + b x + c. Identify the values that should be written to complete the X diagram. On the top: On the bottom: On the sides: Rewrite the expression using the numbers on the sides of the X diagram. Use double grouping to factor the four terms. x2 – 3x – 28 =

Answer 1

Answer:

(x - 7)(x + 4)

Step-by-step explanation:

Note that 4 times 7 is 28, and that -7x + 4x = -3x.

Therefore, x^2 - 3x - 28 factors into (x - 7)(x + 4)

Answer 2

The factors of the quadratic equation x² – 3x – 28 is (x - 7)(x + 4).

What is a quadratic equation?

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Writing a number or any mathematical object as the result of several factors—typically smaller or simpler objects of the same kind—is known as factorization or factoring in mathematics.

The factorization will be done as below:-

x² – 3x – 28

Split the middle term as 7 and 4.

x² – 7x  +  4x – 28 = 0

x ( x - 7 ) + 4 ( x -7 ) = 0

Take x-7 common from the whole equation.

( x - 7 ) ( x + 4 ) = 0

Therefore, the factors of the quadratic equation x² – 3x – 28 is (x - 7)(x + 4).

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