ProblemSimplify the following expression. Write the polynomial expression in standard form.2x−4x2+6+x2−4+4x2𝑥−4𝑥2+6+𝑥2−4+4𝑥 SolutionRearrange the terms so that the like terms are grouped together (hint - start with the highest degree terms first, then your answer will already be in standard form).(−4x2+x2)+(2x+4x)+(6−4)(−4𝑥2+𝑥2)+(2𝑥+4𝑥)+(6−4)Combine like terms. x2+𝑥2+ x+𝑥+ Next, determine if your polynomial expression is in standard form. If not, rewrite it in standard form. Our expression, −3x2+6x+2−3𝑥2+6𝑥+2, does decrease from left to right in terms of degree, which is the definition of the standard form of a polynomial expression.This expression is now simplified and written in standard form!

ProblemSimplify the following expression. Write the polynomial expression in standard form.x2+6x+4x+9𝑥2+6𝑥+4𝑥+9 SolutionBegin by identifying any like terms you have. 6x6𝑥 and 4x4𝑥 both contain the variable x𝑥 raised to the 1st1𝑠𝑡 power (even though we don’t show it). They are like terms and can be combined.Now, combine the like terms:x2+𝑥2+ x+9𝑥+9We now have a simplified polynomial expression. Is the expression in standard form?Let’s check.The expression should be listed in decreasing degree order.Each term is listed in the correct order.This polynomial expression is in standard form as well.

Expand the expression to a polynomial in standard form:left bracket, 2, x, plus, 1, right bracket, left bracket, minus, 3, x, squared, minus, 6, x, minus, 4, right bracket(2x+1)(−3x 2 −6x−4)

(−6x 2 +x−6)−(4x 2 −6x−4)

factorise the polynomial x3 + 4x2 + x − 6

Instructions: Simplify the polynomial expression.(5−5x2−x)−(6x−4x2−3)(5−5𝑥2−𝑥)−(6𝑥−4𝑥2−3)Answer: