Polynomials Tes...

Simplify : $$\displaystyle \left(\frac{3}{2}x - 0.45y\right)^2$$

If $$f(x) = 2x^3 - 13x^2 +17 x+12$$, then find out the value of $$f(-2)$$

If the two zeroes of a quadratic polynomial $$ax^{2} +

bx + c$$ are negative, which of the following statements holds true?

Evaluate (using formulae): $$\displaystyle \frac{2.43 \times 2.43 - 2 \times 2.43 \times 1.67 +1.67 \times 1.67}{2.43 - 1.67}$$

Use the identity $$ (a+b)(a-b)=a^2-b^2$$ to evaluate:
$$4.6\times 5.4 $$.

Use the identity $$ (a+b)(a-b) = a^2-b^2$$ to evaluate:
$$8.3\times 7.7 $$.

Use the identity $$ (a+b)(a-b) = a^2-b^2$$ to evaluate:
$$9.8\times 10.2 $$.

Use the identity $$ (a+b)(a-b) = a^2-b^2$$ to evaluate:
$$103\times 97 $$.

Simplify: $$\left (\sqrt{5}-\sqrt{2})(\sqrt{5}+\sqrt{2}  \right)$$.