Question

When asked to factor the trinomial 4x^2 + 12x + 9, a student gives the answer (2x - 3)(2x - 3). What is one thing wrong with this answer?

A. There is nothing wrong with the answer

B. The minus signs should be plus signs

C. 4 is also a factor of this trinomial

D. The factors are not simplified

Answer 1

The one thing wrong with the answer is option B. The minus signs should be plus signs.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given quadratic is 4x²+12x+9

Taking common 4

4(x²+3x) + 9

=4(x² + 3x + 9/4) + 9 - 9

=4(x + 3/2)²

=(2x+3)²

=(2x+3)(2x+3)

So, the minus sign must be a plus sign. option B is correct.

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